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Finding the Fourth Proportional to 8,461.71, 11,673.27 and 5,478.53

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Solution

The fourth proportional to 8,461.71, 11,673.27 and 5,478.53 is: 7,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.71 : 11,673.27 = 5,478.53 : x
  2. Step 2: Convert to fraction form
    8,461.71/11,673.27 = 5,478.53/x
  3. Step 3: Cross multiply
    8,461.71x = 11,673.27 × 5,478.53
  4. Step 4: Simplify right side
    8,461.71x = 63,952,301.53
  5. Step 5: Solve for x
    x = 63,952,301.53/8,461.71
  6. Step 6: Final answer
    x = 7,557.85

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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.