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Finding the Fourth Proportional to 6,646.71, 9,971.01 and 2,264.88

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Solution

The fourth proportional to 6,646.71, 9,971.01 and 2,264.88 is: 3,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.71 : 9,971.01 = 2,264.88 : x
  2. Step 2: Convert to fraction form
    6,646.71/9,971.01 = 2,264.88/x
  3. Step 3: Cross multiply
    6,646.71x = 9,971.01 × 2,264.88
  4. Step 4: Simplify right side
    6,646.71x = 22,583,141.13
  5. Step 5: Solve for x
    x = 22,583,141.13/6,646.71
  6. Step 6: Final answer
    x = 3,397.64

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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.