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Finding the Fourth Proportional to 9,961.68, 14,937.62 and 5,803.14

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Solution

The fourth proportional to 9,961.68, 14,937.62 and 5,803.14 is: 8,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.68 : 14,937.62 = 5,803.14 : x
  2. Step 2: Convert to fraction form
    9,961.68/14,937.62 = 5,803.14/x
  3. Step 3: Cross multiply
    9,961.68x = 14,937.62 × 5,803.14
  4. Step 4: Simplify right side
    9,961.68x = 86,685,100.13
  5. Step 5: Solve for x
    x = 86,685,100.13/9,961.68
  6. Step 6: Final answer
    x = 8,701.86

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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.