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Finding the Fourth Proportional to 9,141.64, 13,712.18 and 2,567.68

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Solution

The fourth proportional to 9,141.64, 13,712.18 and 2,567.68 is: 3,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.64 : 13,712.18 = 2,567.68 : x
  2. Step 2: Convert to fraction form
    9,141.64/13,712.18 = 2,567.68/x
  3. Step 3: Cross multiply
    9,141.64x = 13,712.18 × 2,567.68
  4. Step 4: Simplify right side
    9,141.64x = 35,208,490.34
  5. Step 5: Solve for x
    x = 35,208,490.34/9,141.64
  6. Step 6: Final answer
    x = 3,851.44

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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.