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Finding the Fourth Proportional to 6,951.10, 9,594 and 4,432.60

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Solution

The fourth proportional to 6,951.10, 9,594 and 4,432.60 is: 6,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.10 : 9,594 = 4,432.60 : x
  2. Step 2: Convert to fraction form
    6,951.10/9,594 = 4,432.60/x
  3. Step 3: Cross multiply
    6,951.10x = 9,594 × 4,432.60
  4. Step 4: Simplify right side
    6,951.10x = 42,526,364.40
  5. Step 5: Solve for x
    x = 42,526,364.40/6,951.10
  6. Step 6: Final answer
    x = 6,117.93

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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.