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Finding the Fourth Proportional to 9,597.52, 14,395 and 3,758.28

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Solution

The fourth proportional to 9,597.52, 14,395 and 3,758.28 is: 5,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.52 : 14,395 = 3,758.28 : x
  2. Step 2: Convert to fraction form
    9,597.52/14,395 = 3,758.28/x
  3. Step 3: Cross multiply
    9,597.52x = 14,395 × 3,758.28
  4. Step 4: Simplify right side
    9,597.52x = 54,100,440.60
  5. Step 5: Solve for x
    x = 54,100,440.60/9,597.52
  6. Step 6: Final answer
    x = 5,636.92

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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.