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Finding the Fourth Proportional to 11,470.03, 15,813.49 and 7,484.22

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Solution

The fourth proportional to 11,470.03, 15,813.49 and 7,484.22 is: 10,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.03 : 15,813.49 = 7,484.22 : x
  2. Step 2: Convert to fraction form
    11,470.03/15,813.49 = 7,484.22/x
  3. Step 3: Cross multiply
    11,470.03x = 15,813.49 × 7,484.22
  4. Step 4: Simplify right side
    11,470.03x = 118,351,638.13
  5. Step 5: Solve for x
    x = 118,351,638.13/11,470.03
  6. Step 6: Final answer
    x = 10,318.34

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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.