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Finding the Fourth Proportional to 9,225.88, 13,842.88 and 4,842.32

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Solution

The fourth proportional to 9,225.88, 13,842.88 and 4,842.32 is: 7,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.88 : 13,842.88 = 4,842.32 : x
  2. Step 2: Convert to fraction form
    9,225.88/13,842.88 = 4,842.32/x
  3. Step 3: Cross multiply
    9,225.88x = 13,842.88 × 4,842.32
  4. Step 4: Simplify right side
    9,225.88x = 67,031,630.47
  5. Step 5: Solve for x
    x = 67,031,630.47/9,225.88
  6. Step 6: Final answer
    x = 7,265.61

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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.