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Finding the Fourth Proportional to 9,876.44, 14,812.47 and 2,854.92

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Solution

The fourth proportional to 9,876.44, 14,812.47 and 2,854.92 is: 4,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.44 : 14,812.47 = 2,854.92 : x
  2. Step 2: Convert to fraction form
    9,876.44/14,812.47 = 2,854.92/x
  3. Step 3: Cross multiply
    9,876.44x = 14,812.47 × 2,854.92
  4. Step 4: Simplify right side
    9,876.44x = 42,288,472.40
  5. Step 5: Solve for x
    x = 42,288,472.40/9,876.44
  6. Step 6: Final answer
    x = 4,281.75

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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.