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Finding the Fourth Proportional to 9,663.16, 14,494.74 and 5,278.24

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Solution

The fourth proportional to 9,663.16, 14,494.74 and 5,278.24 is: 7,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.16 : 14,494.74 = 5,278.24 : x
  2. Step 2: Convert to fraction form
    9,663.16/14,494.74 = 5,278.24/x
  3. Step 3: Cross multiply
    9,663.16x = 14,494.74 × 5,278.24
  4. Step 4: Simplify right side
    9,663.16x = 76,506,716.46
  5. Step 5: Solve for x
    x = 76,506,716.46/9,663.16
  6. Step 6: Final answer
    x = 7,917.36

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.