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Finding the Fourth Proportional to 10,765.64, 14,856.78 and 6,049.92

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Solution

The fourth proportional to 10,765.64, 14,856.78 and 6,049.92 is: 8,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.64 : 14,856.78 = 6,049.92 : x
  2. Step 2: Convert to fraction form
    10,765.64/14,856.78 = 6,049.92/x
  3. Step 3: Cross multiply
    10,765.64x = 14,856.78 × 6,049.92
  4. Step 4: Simplify right side
    10,765.64x = 89,882,330.46
  5. Step 5: Solve for x
    x = 89,882,330.46/10,765.64
  6. Step 6: Final answer
    x = 8,349.00

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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.