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Finding the Fourth Proportional to 14,762.25, 22,147.02 and 4,374

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Solution

The fourth proportional to 14,762.25, 22,147.02 and 4,374 is: 6,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.25 : 22,147.02 = 4,374 : x
  2. Step 2: Convert to fraction form
    14,762.25/22,147.02 = 4,374/x
  3. Step 3: Cross multiply
    14,762.25x = 22,147.02 × 4,374
  4. Step 4: Simplify right side
    14,762.25x = 96,871,065.48
  5. Step 5: Solve for x
    x = 96,871,065.48/14,762.25
  6. Step 6: Final answer
    x = 6,562.08

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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.