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Finding the Fourth Proportional to 14,978.16, 22,472.60 and 6,426

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Solution

The fourth proportional to 14,978.16, 22,472.60 and 6,426 is: 9,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.16 : 22,472.60 = 6,426 : x
  2. Step 2: Convert to fraction form
    14,978.16/22,472.60 = 6,426/x
  3. Step 3: Cross multiply
    14,978.16x = 22,472.60 × 6,426
  4. Step 4: Simplify right side
    14,978.16x = 144,408,927.60
  5. Step 5: Solve for x
    x = 144,408,927.60/14,978.16
  6. Step 6: Final answer
    x = 9,641.30

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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.