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Finding the Fourth Proportional to 9,166, 12,649.08 and 4,974.24

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Solution

The fourth proportional to 9,166, 12,649.08 and 4,974.24 is: 6,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166 : 12,649.08 = 4,974.24 : x
  2. Step 2: Convert to fraction form
    9,166/12,649.08 = 4,974.24/x
  3. Step 3: Cross multiply
    9,166x = 12,649.08 × 4,974.24
  4. Step 4: Simplify right side
    9,166x = 62,919,559.70
  5. Step 5: Solve for x
    x = 62,919,559.70/9,166
  6. Step 6: Final answer
    x = 6,864.45

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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.