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Finding the Fourth Proportional to 7,833.30, 10,815.30 and 5,476.20

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Solution

The fourth proportional to 7,833.30, 10,815.30 and 5,476.20 is: 7,560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.30 : 10,815.30 = 5,476.20 : x
  2. Step 2: Convert to fraction form
    7,833.30/10,815.30 = 5,476.20/x
  3. Step 3: Cross multiply
    7,833.30x = 10,815.30 × 5,476.20
  4. Step 4: Simplify right side
    7,833.30x = 59,226,745.86
  5. Step 5: Solve for x
    x = 59,226,745.86/7,833.30
  6. Step 6: Final answer
    x = 7,560.89

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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.