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Finding the Fourth Proportional to 6,570.82, 9,809.42 and 6,340.14

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Solution

The fourth proportional to 6,570.82, 9,809.42 and 6,340.14 is: 9,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.82 : 9,809.42 = 6,340.14 : x
  2. Step 2: Convert to fraction form
    6,570.82/9,809.42 = 6,340.14/x
  3. Step 3: Cross multiply
    6,570.82x = 9,809.42 × 6,340.14
  4. Step 4: Simplify right side
    6,570.82x = 62,193,100.08
  5. Step 5: Solve for x
    x = 62,193,100.08/6,570.82
  6. Step 6: Final answer
    x = 9,465.04

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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.