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Finding the Fourth Proportional to 9,838.53, 14,748.06 and 4,575.15

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Solution

The fourth proportional to 9,838.53, 14,748.06 and 4,575.15 is: 6,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.53 : 14,748.06 = 4,575.15 : x
  2. Step 2: Convert to fraction form
    9,838.53/14,748.06 = 4,575.15/x
  3. Step 3: Cross multiply
    9,838.53x = 14,748.06 × 4,575.15
  4. Step 4: Simplify right side
    9,838.53x = 67,474,586.71
  5. Step 5: Solve for x
    x = 67,474,586.71/9,838.53
  6. Step 6: Final answer
    x = 6,858.20

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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.