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Finding the Fourth Proportional to 9,827.20, 14,740.80 and 6,140.80

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Solution

The fourth proportional to 9,827.20, 14,740.80 and 6,140.80 is: 9,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.20 : 14,740.80 = 6,140.80 : x
  2. Step 2: Convert to fraction form
    9,827.20/14,740.80 = 6,140.80/x
  3. Step 3: Cross multiply
    9,827.20x = 14,740.80 × 6,140.80
  4. Step 4: Simplify right side
    9,827.20x = 90,520,304.64
  5. Step 5: Solve for x
    x = 90,520,304.64/9,827.20
  6. Step 6: Final answer
    x = 9,211.20

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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.