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Finding the Fourth Proportional to 9,920.68, 13,690.08 and 5,444.62

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Solution

The fourth proportional to 9,920.68, 13,690.08 and 5,444.62 is: 7,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.68 : 13,690.08 = 5,444.62 : x
  2. Step 2: Convert to fraction form
    9,920.68/13,690.08 = 5,444.62/x
  3. Step 3: Cross multiply
    9,920.68x = 13,690.08 × 5,444.62
  4. Step 4: Simplify right side
    9,920.68x = 74,537,249.14
  5. Step 5: Solve for x
    x = 74,537,249.14/9,920.68
  6. Step 6: Final answer
    x = 7,513.32

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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.