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Finding the Fourth Proportional to 7,952.71, 10,956.68 and 6,154.00

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Solution

The fourth proportional to 7,952.71, 10,956.68 and 6,154.00 is: 8,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.71 : 10,956.68 = 6,154.00 : x
  2. Step 2: Convert to fraction form
    7,952.71/10,956.68 = 6,154.00/x
  3. Step 3: Cross multiply
    7,952.71x = 10,956.68 × 6,154.00
  4. Step 4: Simplify right side
    7,952.71x = 67,427,323.17
  5. Step 5: Solve for x
    x = 67,427,323.17/7,952.71
  6. Step 6: Final answer
    x = 8,478.54

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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.