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Finding the Fourth Proportional to 9,133.68, 12,593 and 7,453.38

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Solution

The fourth proportional to 9,133.68, 12,593 and 7,453.38 is: 10,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.68 : 12,593 = 7,453.38 : x
  2. Step 2: Convert to fraction form
    9,133.68/12,593 = 7,453.38/x
  3. Step 3: Cross multiply
    9,133.68x = 12,593 × 7,453.38
  4. Step 4: Simplify right side
    9,133.68x = 93,860,414.34
  5. Step 5: Solve for x
    x = 93,860,414.34/9,133.68
  6. Step 6: Final answer
    x = 10,276.30

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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.