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Finding the Fourth Proportional to 37,138.16, 55,706.52 and 9,436.16

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Solution

The fourth proportional to 37,138.16, 55,706.52 and 9,436.16 is: 14,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138.16 : 55,706.52 = 9,436.16 : x
  2. Step 2: Convert to fraction form
    37,138.16/55,706.52 = 9,436.16/x
  3. Step 3: Cross multiply
    37,138.16x = 55,706.52 × 9,436.16
  4. Step 4: Simplify right side
    37,138.16x = 525,655,635.76
  5. Step 5: Solve for x
    x = 525,655,635.76/37,138.16
  6. Step 6: Final answer
    x = 14,154.06

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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.