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Finding the Fourth Proportional to 9,225.12, 13,842.54 and 7,047.84

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Solution

The fourth proportional to 9,225.12, 13,842.54 and 7,047.84 is: 10,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.12 : 13,842.54 = 7,047.84 : x
  2. Step 2: Convert to fraction form
    9,225.12/13,842.54 = 7,047.84/x
  3. Step 3: Cross multiply
    9,225.12x = 13,842.54 × 7,047.84
  4. Step 4: Simplify right side
    9,225.12x = 97,560,007.11
  5. Step 5: Solve for x
    x = 97,560,007.11/9,225.12
  6. Step 6: Final answer
    x = 10,575.47

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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.