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Finding the Fourth Proportional to 9,971.31, 14,925 and 6,631.86

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Solution

The fourth proportional to 9,971.31, 14,925 and 6,631.86 is: 9,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.31 : 14,925 = 6,631.86 : x
  2. Step 2: Convert to fraction form
    9,971.31/14,925 = 6,631.86/x
  3. Step 3: Cross multiply
    9,971.31x = 14,925 × 6,631.86
  4. Step 4: Simplify right side
    9,971.31x = 98,980,510.50
  5. Step 5: Solve for x
    x = 98,980,510.50/9,971.31
  6. Step 6: Final answer
    x = 9,926.53

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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.