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Finding the Fourth Proportional to 15,642.61, 23,461.08 and 6,282.25

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Solution

The fourth proportional to 15,642.61, 23,461.08 and 6,282.25 is: 9,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.61 : 23,461.08 = 6,282.25 : x
  2. Step 2: Convert to fraction form
    15,642.61/23,461.08 = 6,282.25/x
  3. Step 3: Cross multiply
    15,642.61x = 23,461.08 × 6,282.25
  4. Step 4: Simplify right side
    15,642.61x = 147,388,287.62
  5. Step 5: Solve for x
    x = 147,388,287.62/15,642.61
  6. Step 6: Final answer
    x = 9,422.23

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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.