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Finding the Fourth Proportional to 9,577.40, 13,217.10 and 5,601.40

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Solution

The fourth proportional to 9,577.40, 13,217.10 and 5,601.40 is: 7,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.40 : 13,217.10 = 5,601.40 : x
  2. Step 2: Convert to fraction form
    9,577.40/13,217.10 = 5,601.40/x
  3. Step 3: Cross multiply
    9,577.40x = 13,217.10 × 5,601.40
  4. Step 4: Simplify right side
    9,577.40x = 74,034,263.94
  5. Step 5: Solve for x
    x = 74,034,263.94/9,577.40
  6. Step 6: Final answer
    x = 7,730.10

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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.