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Finding the Fourth Proportional to 9,981.95, 13,774.92 and 5,506.13

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Solution

The fourth proportional to 9,981.95, 13,774.92 and 5,506.13 is: 7,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.95 : 13,774.92 = 5,506.13 : x
  2. Step 2: Convert to fraction form
    9,981.95/13,774.92 = 5,506.13/x
  3. Step 3: Cross multiply
    9,981.95x = 13,774.92 × 5,506.13
  4. Step 4: Simplify right side
    9,981.95x = 75,846,500.26
  5. Step 5: Solve for x
    x = 75,846,500.26/9,981.95
  6. Step 6: Final answer
    x = 7,598.37

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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.