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Finding the Fourth Proportional to 34,820.68, 52,224.34 and 9,854.70

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Solution

The fourth proportional to 34,820.68, 52,224.34 and 9,854.70 is: 14,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,820.68 : 52,224.34 = 9,854.70 : x
  2. Step 2: Convert to fraction form
    34,820.68/52,224.34 = 9,854.70/x
  3. Step 3: Cross multiply
    34,820.68x = 52,224.34 × 9,854.70
  4. Step 4: Simplify right side
    34,820.68x = 514,655,203.40
  5. Step 5: Solve for x
    x = 514,655,203.40/34,820.68
  6. Step 6: Final answer
    x = 14,780.16

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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.