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Finding the Fourth Proportional to 6,542.76, 9,022.95 and 5,886.66

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Solution

The fourth proportional to 6,542.76, 9,022.95 and 5,886.66 is: 8,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.76 : 9,022.95 = 5,886.66 : x
  2. Step 2: Convert to fraction form
    6,542.76/9,022.95 = 5,886.66/x
  3. Step 3: Cross multiply
    6,542.76x = 9,022.95 × 5,886.66
  4. Step 4: Simplify right side
    6,542.76x = 53,115,038.85
  5. Step 5: Solve for x
    x = 53,115,038.85/6,542.76
  6. Step 6: Final answer
    x = 8,118.14

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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.