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Finding the Fourth Proportional to 11,920.59, 16,449.64 and 7,444.08

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Solution

The fourth proportional to 11,920.59, 16,449.64 and 7,444.08 is: 10,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.59 : 16,449.64 = 7,444.08 : x
  2. Step 2: Convert to fraction form
    11,920.59/16,449.64 = 7,444.08/x
  3. Step 3: Cross multiply
    11,920.59x = 16,449.64 × 7,444.08
  4. Step 4: Simplify right side
    11,920.59x = 122,452,417.52
  5. Step 5: Solve for x
    x = 122,452,417.52/11,920.59
  6. Step 6: Final answer
    x = 10,272.35

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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.