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Finding the Fourth Proportional to 9,113, 13,668.28 and 3,562.48

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Solution

The fourth proportional to 9,113, 13,668.28 and 3,562.48 is: 5,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113 : 13,668.28 = 3,562.48 : x
  2. Step 2: Convert to fraction form
    9,113/13,668.28 = 3,562.48/x
  3. Step 3: Cross multiply
    9,113x = 13,668.28 × 3,562.48
  4. Step 4: Simplify right side
    9,113x = 48,692,974.13
  5. Step 5: Solve for x
    x = 48,692,974.13/9,113
  6. Step 6: Final answer
    x = 5,343.24

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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.