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Finding the Fourth Proportional to 6,803.10, 10,204.65 and 6,803.10

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Solution

The fourth proportional to 6,803.10, 10,204.65 and 6,803.10 is: 10,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.10 : 10,204.65 = 6,803.10 : x
  2. Step 2: Convert to fraction form
    6,803.10/10,204.65 = 6,803.10/x
  3. Step 3: Cross multiply
    6,803.10x = 10,204.65 × 6,803.10
  4. Step 4: Simplify right side
    6,803.10x = 69,423,254.42
  5. Step 5: Solve for x
    x = 69,423,254.42/6,803.10
  6. Step 6: Final answer
    x = 10,204.65

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Half 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.