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Finding the Fourth Proportional to 9,160.66, 13,744.86 and 4,484.80

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Solution

The fourth proportional to 9,160.66, 13,744.86 and 4,484.80 is: 6,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.66 : 13,744.86 = 4,484.80 : x
  2. Step 2: Convert to fraction form
    9,160.66/13,744.86 = 4,484.80/x
  3. Step 3: Cross multiply
    9,160.66x = 13,744.86 × 4,484.80
  4. Step 4: Simplify right side
    9,160.66x = 61,642,948.13
  5. Step 5: Solve for x
    x = 61,642,948.13/9,160.66
  6. Step 6: Final answer
    x = 6,729.09

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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.