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Finding the Fourth Proportional to 7,546.95, 11,320.95 and 2,281.47

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Solution

The fourth proportional to 7,546.95, 11,320.95 and 2,281.47 is: 3,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.95 : 11,320.95 = 2,281.47 : x
  2. Step 2: Convert to fraction form
    7,546.95/11,320.95 = 2,281.47/x
  3. Step 3: Cross multiply
    7,546.95x = 11,320.95 × 2,281.47
  4. Step 4: Simplify right side
    7,546.95x = 25,828,407.80
  5. Step 5: Solve for x
    x = 25,828,407.80/7,546.95
  6. Step 6: Final answer
    x = 3,422.36

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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.