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Finding the Fourth Proportional to 10,469.16, 15,663.96 and 6,452.16

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Solution

The fourth proportional to 10,469.16, 15,663.96 and 6,452.16 is: 9,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.16 : 15,663.96 = 6,452.16 : x
  2. Step 2: Convert to fraction form
    10,469.16/15,663.96 = 6,452.16/x
  3. Step 3: Cross multiply
    10,469.16x = 15,663.96 × 6,452.16
  4. Step 4: Simplify right side
    10,469.16x = 101,066,376.15
  5. Step 5: Solve for x
    x = 101,066,376.15/10,469.16
  6. Step 6: Final answer
    x = 9,653.72

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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.