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Finding the Fourth Proportional to 8,605.68, 11,877.76 and 5,461.28

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Solution

The fourth proportional to 8,605.68, 11,877.76 and 5,461.28 is: 7,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.68 : 11,877.76 = 5,461.28 : x
  2. Step 2: Convert to fraction form
    8,605.68/11,877.76 = 5,461.28/x
  3. Step 3: Cross multiply
    8,605.68x = 11,877.76 × 5,461.28
  4. Step 4: Simplify right side
    8,605.68x = 64,867,773.13
  5. Step 5: Solve for x
    x = 64,867,773.13/8,605.68
  6. Step 6: Final answer
    x = 7,537.79

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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.