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Finding the Fourth Proportional to 6,292.29, 9,404.53 and 5,495.40

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Solution

The fourth proportional to 6,292.29, 9,404.53 and 5,495.40 is: 8,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.29 : 9,404.53 = 5,495.40 : x
  2. Step 2: Convert to fraction form
    6,292.29/9,404.53 = 5,495.40/x
  3. Step 3: Cross multiply
    6,292.29x = 9,404.53 × 5,495.40
  4. Step 4: Simplify right side
    6,292.29x = 51,681,654.16
  5. Step 5: Solve for x
    x = 51,681,654.16/6,292.29
  6. Step 6: Final answer
    x = 8,213.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.