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Finding the Fourth Proportional to 7,848.02, 11,760.24 and 7,107.14

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Solution

The fourth proportional to 7,848.02, 11,760.24 and 7,107.14 is: 10,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.02 : 11,760.24 = 7,107.14 : x
  2. Step 2: Convert to fraction form
    7,848.02/11,760.24 = 7,107.14/x
  3. Step 3: Cross multiply
    7,848.02x = 11,760.24 × 7,107.14
  4. Step 4: Simplify right side
    7,848.02x = 83,581,672.11
  5. Step 5: Solve for x
    x = 83,581,672.11/7,848.02
  6. Step 6: Final answer
    x = 10,650.03

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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.