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Finding the Fourth Proportional to 6,593.60, 9,098.24 and 4,238.96

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Solution

The fourth proportional to 6,593.60, 9,098.24 and 4,238.96 is: 5,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.60 : 9,098.24 = 4,238.96 : x
  2. Step 2: Convert to fraction form
    6,593.60/9,098.24 = 4,238.96/x
  3. Step 3: Cross multiply
    6,593.60x = 9,098.24 × 4,238.96
  4. Step 4: Simplify right side
    6,593.60x = 38,567,075.43
  5. Step 5: Solve for x
    x = 38,567,075.43/6,593.60
  6. Step 6: Final answer
    x = 5,849.17

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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.