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Finding the Fourth Proportional to 9,788.90, 13,510.08 and 5,755.52

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Solution

The fourth proportional to 9,788.90, 13,510.08 and 5,755.52 is: 7,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.90 : 13,510.08 = 5,755.52 : x
  2. Step 2: Convert to fraction form
    9,788.90/13,510.08 = 5,755.52/x
  3. Step 3: Cross multiply
    9,788.90x = 13,510.08 × 5,755.52
  4. Step 4: Simplify right side
    9,788.90x = 77,757,535.64
  5. Step 5: Solve for x
    x = 77,757,535.64/9,788.90
  6. Step 6: Final answer
    x = 7,943.44

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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.