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Finding the Fourth Proportional to 6,951.48, 9,588.06 and 4,431

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Solution

The fourth proportional to 6,951.48, 9,588.06 and 4,431 is: 6,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.48 : 9,588.06 = 4,431 : x
  2. Step 2: Convert to fraction form
    6,951.48/9,588.06 = 4,431/x
  3. Step 3: Cross multiply
    6,951.48x = 9,588.06 × 4,431
  4. Step 4: Simplify right side
    6,951.48x = 42,484,693.86
  5. Step 5: Solve for x
    x = 42,484,693.86/6,951.48
  6. Step 6: Final answer
    x = 6,111.60

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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.