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Finding the Fourth Proportional to 34,937.92, 52,398.78 and 9,977.32

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Solution

The fourth proportional to 34,937.92, 52,398.78 and 9,977.32 is: 14,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,937.92 : 52,398.78 = 9,977.32 : x
  2. Step 2: Convert to fraction form
    34,937.92/52,398.78 = 9,977.32/x
  3. Step 3: Cross multiply
    34,937.92x = 52,398.78 × 9,977.32
  4. Step 4: Simplify right side
    34,937.92x = 522,799,395.67
  5. Step 5: Solve for x
    x = 522,799,395.67/34,937.92
  6. Step 6: Final answer
    x = 14,963.67

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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.