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Finding the Fourth Proportional to 13,001.60, 17,935.04 and 8,032.64

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Solution

The fourth proportional to 13,001.60, 17,935.04 and 8,032.64 is: 11,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.60 : 17,935.04 = 8,032.64 : x
  2. Step 2: Convert to fraction form
    13,001.60/17,935.04 = 8,032.64/x
  3. Step 3: Cross multiply
    13,001.60x = 17,935.04 × 8,032.64
  4. Step 4: Simplify right side
    13,001.60x = 144,065,719.71
  5. Step 5: Solve for x
    x = 144,065,719.71/13,001.60
  6. Step 6: Final answer
    x = 11,080.61

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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.