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Finding the Fourth Proportional to 12,288.40, 18,430.80 and 3,522.40

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Solution

The fourth proportional to 12,288.40, 18,430.80 and 3,522.40 is: 5,283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.40 : 18,430.80 = 3,522.40 : x
  2. Step 2: Convert to fraction form
    12,288.40/18,430.80 = 3,522.40/x
  3. Step 3: Cross multiply
    12,288.40x = 18,430.80 × 3,522.40
  4. Step 4: Simplify right side
    12,288.40x = 64,920,649.92
  5. Step 5: Solve for x
    x = 64,920,649.92/12,288.40
  6. Step 6: Final answer
    x = 5,283.08

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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.