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Finding the Fourth Proportional to 12,652.96, 17,461.32 and 6,988

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Solution

The fourth proportional to 12,652.96, 17,461.32 and 6,988 is: 9,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.96 : 17,461.32 = 6,988 : x
  2. Step 2: Convert to fraction form
    12,652.96/17,461.32 = 6,988/x
  3. Step 3: Cross multiply
    12,652.96x = 17,461.32 × 6,988
  4. Step 4: Simplify right side
    12,652.96x = 122,019,704.16
  5. Step 5: Solve for x
    x = 122,019,704.16/12,652.96
  6. Step 6: Final answer
    x = 9,643.57

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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.