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Finding the Fourth Proportional to 8,997.84, 13,488.48 and 6,077.16

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Solution

The fourth proportional to 8,997.84, 13,488.48 and 6,077.16 is: 9,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.84 : 13,488.48 = 6,077.16 : x
  2. Step 2: Convert to fraction form
    8,997.84/13,488.48 = 6,077.16/x
  3. Step 3: Cross multiply
    8,997.84x = 13,488.48 × 6,077.16
  4. Step 4: Simplify right side
    8,997.84x = 81,971,651.12
  5. Step 5: Solve for x
    x = 81,971,651.12/8,997.84
  6. Step 6: Final answer
    x = 9,110.15

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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.