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Finding the Fourth Proportional to 9,532.62, 14,293.14 and 4,266.63

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Solution

The fourth proportional to 9,532.62, 14,293.14 and 4,266.63 is: 6,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.62 : 14,293.14 = 4,266.63 : x
  2. Step 2: Convert to fraction form
    9,532.62/14,293.14 = 4,266.63/x
  3. Step 3: Cross multiply
    9,532.62x = 14,293.14 × 4,266.63
  4. Step 4: Simplify right side
    9,532.62x = 60,983,539.92
  5. Step 5: Solve for x
    x = 60,983,539.92/9,532.62
  6. Step 6: Final answer
    x = 6,397.35

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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.