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Finding the Fourth Proportional to 15,434.92, 23,141.84 and 7,425.46

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Solution

The fourth proportional to 15,434.92, 23,141.84 and 7,425.46 is: 11,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,434.92 : 23,141.84 = 7,425.46 : x
  2. Step 2: Convert to fraction form
    15,434.92/23,141.84 = 7,425.46/x
  3. Step 3: Cross multiply
    15,434.92x = 23,141.84 × 7,425.46
  4. Step 4: Simplify right side
    15,434.92x = 171,838,807.25
  5. Step 5: Solve for x
    x = 171,838,807.25/15,434.92
  6. Step 6: Final answer
    x = 11,133.12

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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.