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Finding the Fourth Proportional to 9,616.17, 13,264.92 and 5,636.46

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Solution

The fourth proportional to 9,616.17, 13,264.92 and 5,636.46 is: 7,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.17 : 13,264.92 = 5,636.46 : x
  2. Step 2: Convert to fraction form
    9,616.17/13,264.92 = 5,636.46/x
  3. Step 3: Cross multiply
    9,616.17x = 13,264.92 × 5,636.46
  4. Step 4: Simplify right side
    9,616.17x = 74,767,190.98
  5. Step 5: Solve for x
    x = 74,767,190.98/9,616.17
  6. Step 6: Final answer
    x = 7,775.15

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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.