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Finding the Fourth Proportional to 10,763.92, 14,854.08 and 6,049

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Solution

The fourth proportional to 10,763.92, 14,854.08 and 6,049 is: 8,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.92 : 14,854.08 = 6,049 : x
  2. Step 2: Convert to fraction form
    10,763.92/14,854.08 = 6,049/x
  3. Step 3: Cross multiply
    10,763.92x = 14,854.08 × 6,049
  4. Step 4: Simplify right side
    10,763.92x = 89,852,329.92
  5. Step 5: Solve for x
    x = 89,852,329.92/10,763.92
  6. Step 6: Final answer
    x = 8,347.55

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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.