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Finding the Fourth Proportional to 12,854.98, 17,734.16 and 8,377.70

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Solution

The fourth proportional to 12,854.98, 17,734.16 and 8,377.70 is: 11,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.98 : 17,734.16 = 8,377.70 : x
  2. Step 2: Convert to fraction form
    12,854.98/17,734.16 = 8,377.70/x
  3. Step 3: Cross multiply
    12,854.98x = 17,734.16 × 8,377.70
  4. Step 4: Simplify right side
    12,854.98x = 148,571,430.34
  5. Step 5: Solve for x
    x = 148,571,430.34/12,854.98
  6. Step 6: Final answer
    x = 11,557.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.