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Finding the Fourth Proportional to 9,175.40, 13,760.40 and 2,602.16

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Solution

The fourth proportional to 9,175.40, 13,760.40 and 2,602.16 is: 3,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.40 : 13,760.40 = 2,602.16 : x
  2. Step 2: Convert to fraction form
    9,175.40/13,760.40 = 2,602.16/x
  3. Step 3: Cross multiply
    9,175.40x = 13,760.40 × 2,602.16
  4. Step 4: Simplify right side
    9,175.40x = 35,806,762.46
  5. Step 5: Solve for x
    x = 35,806,762.46/9,175.40
  6. Step 6: Final answer
    x = 3,902.47

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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.