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Finding the Fourth Proportional to 11,476.60, 15,833.82 and 7,287.28

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Solution

The fourth proportional to 11,476.60, 15,833.82 and 7,287.28 is: 10,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.60 : 15,833.82 = 7,287.28 : x
  2. Step 2: Convert to fraction form
    11,476.60/15,833.82 = 7,287.28/x
  3. Step 3: Cross multiply
    11,476.60x = 15,833.82 × 7,287.28
  4. Step 4: Simplify right side
    11,476.60x = 115,385,479.81
  5. Step 5: Solve for x
    x = 115,385,479.81/11,476.60
  6. Step 6: Final answer
    x = 10,053.98

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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.