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Finding the Fourth Proportional to 9,701.64, 14,543.82 and 4,504.68

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Solution

The fourth proportional to 9,701.64, 14,543.82 and 4,504.68 is: 6,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.64 : 14,543.82 = 4,504.68 : x
  2. Step 2: Convert to fraction form
    9,701.64/14,543.82 = 4,504.68/x
  3. Step 3: Cross multiply
    9,701.64x = 14,543.82 × 4,504.68
  4. Step 4: Simplify right side
    9,701.64x = 65,515,255.08
  5. Step 5: Solve for x
    x = 65,515,255.08/9,701.64
  6. Step 6: Final answer
    x = 6,753.01

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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.