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Finding the Fourth Proportional to 9,914.54, 14,858.01 and 6,586.70

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Solution

The fourth proportional to 9,914.54, 14,858.01 and 6,586.70 is: 9,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.54 : 14,858.01 = 6,586.70 : x
  2. Step 2: Convert to fraction form
    9,914.54/14,858.01 = 6,586.70/x
  3. Step 3: Cross multiply
    9,914.54x = 14,858.01 × 6,586.70
  4. Step 4: Simplify right side
    9,914.54x = 97,865,254.47
  5. Step 5: Solve for x
    x = 97,865,254.47/9,914.54
  6. Step 6: Final answer
    x = 9,870.88

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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.