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Finding the Fourth Proportional to 9,967.20, 14,945.40 and 4,124.40

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Solution

The fourth proportional to 9,967.20, 14,945.40 and 4,124.40 is: 6,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.20 : 14,945.40 = 4,124.40 : x
  2. Step 2: Convert to fraction form
    9,967.20/14,945.40 = 4,124.40/x
  3. Step 3: Cross multiply
    9,967.20x = 14,945.40 × 4,124.40
  4. Step 4: Simplify right side
    9,967.20x = 61,640,807.76
  5. Step 5: Solve for x
    x = 61,640,807.76/9,967.20
  6. Step 6: Final answer
    x = 6,184.37

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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.