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Finding the Fourth Proportional to 9,962.53, 14,909.06 and 7,194.76

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Solution

The fourth proportional to 9,962.53, 14,909.06 and 7,194.76 is: 10,767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.53 : 14,909.06 = 7,194.76 : x
  2. Step 2: Convert to fraction form
    9,962.53/14,909.06 = 7,194.76/x
  3. Step 3: Cross multiply
    9,962.53x = 14,909.06 × 7,194.76
  4. Step 4: Simplify right side
    9,962.53x = 107,267,089.24
  5. Step 5: Solve for x
    x = 107,267,089.24/9,962.53
  6. Step 6: Final answer
    x = 10,767.06

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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.