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Finding the Fourth Proportional to 11,470.51, 15,836.21 and 7,498.27

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Solution

The fourth proportional to 11,470.51, 15,836.21 and 7,498.27 is: 10,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.51 : 15,836.21 = 7,498.27 : x
  2. Step 2: Convert to fraction form
    11,470.51/15,836.21 = 7,498.27/x
  3. Step 3: Cross multiply
    11,470.51x = 15,836.21 × 7,498.27
  4. Step 4: Simplify right side
    11,470.51x = 118,744,178.36
  5. Step 5: Solve for x
    x = 118,744,178.36/11,470.51
  6. Step 6: Final answer
    x = 10,352.13

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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.