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Finding the Fourth Proportional to 14,678.48, 22,004.76 and 5,438.48

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Solution

The fourth proportional to 14,678.48, 22,004.76 and 5,438.48 is: 8,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.48 : 22,004.76 = 5,438.48 : x
  2. Step 2: Convert to fraction form
    14,678.48/22,004.76 = 5,438.48/x
  3. Step 3: Cross multiply
    14,678.48x = 22,004.76 × 5,438.48
  4. Step 4: Simplify right side
    14,678.48x = 119,672,447.16
  5. Step 5: Solve for x
    x = 119,672,447.16/14,678.48
  6. Step 6: Final answer
    x = 8,152.92

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1.5x scale

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.