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Finding the Fourth Proportional to 11,452.48, 15,806.40 and 6,484.48

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Solution

The fourth proportional to 11,452.48, 15,806.40 and 6,484.48 is: 8,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.48 : 15,806.40 = 6,484.48 : x
  2. Step 2: Convert to fraction form
    11,452.48/15,806.40 = 6,484.48/x
  3. Step 3: Cross multiply
    11,452.48x = 15,806.40 × 6,484.48
  4. Step 4: Simplify right side
    11,452.48x = 102,496,284.67
  5. Step 5: Solve for x
    x = 102,496,284.67/11,452.48
  6. Step 6: Final answer
    x = 8,949.70

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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.