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Finding the Fourth Proportional to 9,710.97, 14,535.12 and 5,024.53

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Solution

The fourth proportional to 9,710.97, 14,535.12 and 5,024.53 is: 7,520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.97 : 14,535.12 = 5,024.53 : x
  2. Step 2: Convert to fraction form
    9,710.97/14,535.12 = 5,024.53/x
  3. Step 3: Cross multiply
    9,710.97x = 14,535.12 × 5,024.53
  4. Step 4: Simplify right side
    9,710.97x = 73,032,146.49
  5. Step 5: Solve for x
    x = 73,032,146.49/9,710.97
  6. Step 6: Final answer
    x = 7,520.58

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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.