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Finding the Fourth Proportional to 8,402.76, 11,588.12 and 6,508.28

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Solution

The fourth proportional to 8,402.76, 11,588.12 and 6,508.28 is: 8,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.76 : 11,588.12 = 6,508.28 : x
  2. Step 2: Convert to fraction form
    8,402.76/11,588.12 = 6,508.28/x
  3. Step 3: Cross multiply
    8,402.76x = 11,588.12 × 6,508.28
  4. Step 4: Simplify right side
    8,402.76x = 75,418,729.63
  5. Step 5: Solve for x
    x = 75,418,729.63/8,402.76
  6. Step 6: Final answer
    x = 8,975.47

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Half scale
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Double scale
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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.