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Finding the Fourth Proportional to 6,847.40, 9,605.80 and 6,847.40

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Solution

The fourth proportional to 6,847.40, 9,605.80 and 6,847.40 is: 9,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.40 : 9,605.80 = 6,847.40 : x
  2. Step 2: Convert to fraction form
    6,847.40/9,605.80 = 6,847.40/x
  3. Step 3: Cross multiply
    6,847.40x = 9,605.80 × 6,847.40
  4. Step 4: Simplify right side
    6,847.40x = 65,774,754.92
  5. Step 5: Solve for x
    x = 65,774,754.92/6,847.40
  6. Step 6: Final answer
    x = 9,605.80

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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 (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.