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Finding the Fourth Proportional to 7,854.57, 10,830.44 and 6,057.99

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Solution

The fourth proportional to 7,854.57, 10,830.44 and 6,057.99 is: 8,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.57 : 10,830.44 = 6,057.99 : x
  2. Step 2: Convert to fraction form
    7,854.57/10,830.44 = 6,057.99/x
  3. Step 3: Cross multiply
    7,854.57x = 10,830.44 × 6,057.99
  4. Step 4: Simplify right side
    7,854.57x = 65,610,712.36
  5. Step 5: Solve for x
    x = 65,610,712.36/7,854.57
  6. Step 6: Final answer
    x = 8,353.19

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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.