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Finding the Fourth Proportional to 7,000.13, 9,660.24 and 3,813.45

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Solution

The fourth proportional to 7,000.13, 9,660.24 and 3,813.45 is: 5,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.13 : 9,660.24 = 3,813.45 : x
  2. Step 2: Convert to fraction form
    7,000.13/9,660.24 = 3,813.45/x
  3. Step 3: Cross multiply
    7,000.13x = 9,660.24 × 3,813.45
  4. Step 4: Simplify right side
    7,000.13x = 36,838,842.23
  5. Step 5: Solve for x
    x = 36,838,842.23/7,000.13
  6. Step 6: Final answer
    x = 5,262.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.