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Finding the Fourth Proportional to 6,502.10, 9,753.15 and 5,206.10

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Solution

The fourth proportional to 6,502.10, 9,753.15 and 5,206.10 is: 7,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.10 : 9,753.15 = 5,206.10 : x
  2. Step 2: Convert to fraction form
    6,502.10/9,753.15 = 5,206.10/x
  3. Step 3: Cross multiply
    6,502.10x = 9,753.15 × 5,206.10
  4. Step 4: Simplify right side
    6,502.10x = 50,775,874.22
  5. Step 5: Solve for x
    x = 50,775,874.22/6,502.10
  6. Step 6: Final answer
    x = 7,809.15

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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.