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Finding the Fourth Proportional to 9,616.76, 14,426.90 and 4,422.50

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Solution

The fourth proportional to 9,616.76, 14,426.90 and 4,422.50 is: 6,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.76 : 14,426.90 = 4,422.50 : x
  2. Step 2: Convert to fraction form
    9,616.76/14,426.90 = 4,422.50/x
  3. Step 3: Cross multiply
    9,616.76x = 14,426.90 × 4,422.50
  4. Step 4: Simplify right side
    9,616.76x = 63,802,943.14
  5. Step 5: Solve for x
    x = 63,802,943.14/9,616.76
  6. Step 6: Final answer
    x = 6,634.56

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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.