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Finding the Fourth Proportional to 22,875.78, 34,302.40 and 9,544.74

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Solution

The fourth proportional to 22,875.78, 34,302.40 and 9,544.74 is: 14,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,875.78 : 34,302.40 = 9,544.74 : x
  2. Step 2: Convert to fraction form
    22,875.78/34,302.40 = 9,544.74/x
  3. Step 3: Cross multiply
    22,875.78x = 34,302.40 × 9,544.74
  4. Step 4: Simplify right side
    22,875.78x = 327,407,489.38
  5. Step 5: Solve for x
    x = 327,407,489.38/22,875.78
  6. Step 6: Final answer
    x = 14,312.41

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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.