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Finding the Fourth Proportional to 15,737.94, 23,584.23 and 9,074.17

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Solution

The fourth proportional to 15,737.94, 23,584.23 and 9,074.17 is: 13,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.94 : 23,584.23 = 9,074.17 : x
  2. Step 2: Convert to fraction form
    15,737.94/23,584.23 = 9,074.17/x
  3. Step 3: Cross multiply
    15,737.94x = 23,584.23 × 9,074.17
  4. Step 4: Simplify right side
    15,737.94x = 214,007,344.38
  5. Step 5: Solve for x
    x = 214,007,344.38/15,737.94
  6. Step 6: Final answer
    x = 13,598.18

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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.