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Finding the Fourth Proportional to 34,607.75, 51,920.30 and 9,983.75

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Solution

The fourth proportional to 34,607.75, 51,920.30 and 9,983.75 is: 14,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,607.75 : 51,920.30 = 9,983.75 : x
  2. Step 2: Convert to fraction form
    34,607.75/51,920.30 = 9,983.75/x
  3. Step 3: Cross multiply
    34,607.75x = 51,920.30 × 9,983.75
  4. Step 4: Simplify right side
    34,607.75x = 518,359,295.13
  5. Step 5: Solve for x
    x = 518,359,295.13/34,607.75
  6. Step 6: Final answer
    x = 14,978.13

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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.