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Finding the Fourth Proportional to 9,607.75, 13,269.63 and 6,458.47

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Solution

The fourth proportional to 9,607.75, 13,269.63 and 6,458.47 is: 8,920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.75 : 13,269.63 = 6,458.47 : x
  2. Step 2: Convert to fraction form
    9,607.75/13,269.63 = 6,458.47/x
  3. Step 3: Cross multiply
    9,607.75x = 13,269.63 × 6,458.47
  4. Step 4: Simplify right side
    9,607.75x = 85,701,507.27
  5. Step 5: Solve for x
    x = 85,701,507.27/9,607.75
  6. Step 6: Final answer
    x = 8,920.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.