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Finding the Fourth Proportional to 9,842.40, 14,774.40 and 6,148.80

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Solution

The fourth proportional to 9,842.40, 14,774.40 and 6,148.80 is: 9,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.40 : 14,774.40 = 6,148.80 : x
  2. Step 2: Convert to fraction form
    9,842.40/14,774.40 = 6,148.80/x
  3. Step 3: Cross multiply
    9,842.40x = 14,774.40 × 6,148.80
  4. Step 4: Simplify right side
    9,842.40x = 90,844,830.72
  5. Step 5: Solve for x
    x = 90,844,830.72/9,842.40
  6. Step 6: Final answer
    x = 9,229.95

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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.