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Finding the Fourth Proportional to 7,003.80, 10,505.70 and 6,299.10

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Solution

The fourth proportional to 7,003.80, 10,505.70 and 6,299.10 is: 9,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.80 : 10,505.70 = 6,299.10 : x
  2. Step 2: Convert to fraction form
    7,003.80/10,505.70 = 6,299.10/x
  3. Step 3: Cross multiply
    7,003.80x = 10,505.70 × 6,299.10
  4. Step 4: Simplify right side
    7,003.80x = 66,176,454.87
  5. Step 5: Solve for x
    x = 66,176,454.87/7,003.80
  6. Step 6: Final answer
    x = 9,448.65

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.