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Finding the Fourth Proportional to 9,744.76, 14,615.52 and 3,503.62

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Solution

The fourth proportional to 9,744.76, 14,615.52 and 3,503.62 is: 5,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.76 : 14,615.52 = 3,503.62 : x
  2. Step 2: Convert to fraction form
    9,744.76/14,615.52 = 3,503.62/x
  3. Step 3: Cross multiply
    9,744.76x = 14,615.52 × 3,503.62
  4. Step 4: Simplify right side
    9,744.76x = 51,207,228.18
  5. Step 5: Solve for x
    x = 51,207,228.18/9,744.76
  6. Step 6: Final answer
    x = 5,254.85

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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.