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Finding the Fourth Proportional to 6,595.72, 9,826.96 and 6,282.25

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Solution

The fourth proportional to 6,595.72, 9,826.96 and 6,282.25 is: 9,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.72 : 9,826.96 = 6,282.25 : x
  2. Step 2: Convert to fraction form
    6,595.72/9,826.96 = 6,282.25/x
  3. Step 3: Cross multiply
    6,595.72x = 9,826.96 × 6,282.25
  4. Step 4: Simplify right side
    6,595.72x = 61,735,419.46
  5. Step 5: Solve for x
    x = 61,735,419.46/6,595.72
  6. Step 6: Final answer
    x = 9,359.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.