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Finding the Fourth Proportional to 6,815.20, 9,400.28 and 6,586.64

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Solution

The fourth proportional to 6,815.20, 9,400.28 and 6,586.64 is: 9,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.20 : 9,400.28 = 6,586.64 : x
  2. Step 2: Convert to fraction form
    6,815.20/9,400.28 = 6,586.64/x
  3. Step 3: Cross multiply
    6,815.20x = 9,400.28 × 6,586.64
  4. Step 4: Simplify right side
    6,815.20x = 61,916,260.26
  5. Step 5: Solve for x
    x = 61,916,260.26/6,815.20
  6. Step 6: Final answer
    x = 9,085.02

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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.