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Finding the Fourth Proportional to 9,585, 14,377.50 and 4,113

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Solution

The fourth proportional to 9,585, 14,377.50 and 4,113 is: 6,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585 : 14,377.50 = 4,113 : x
  2. Step 2: Convert to fraction form
    9,585/14,377.50 = 4,113/x
  3. Step 3: Cross multiply
    9,585x = 14,377.50 × 4,113
  4. Step 4: Simplify right side
    9,585x = 59,134,657.50
  5. Step 5: Solve for x
    x = 59,134,657.50/9,585
  6. Step 6: Final answer
    x = 6,169.50

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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.