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Finding the Fourth Proportional to 6,570.74, 9,895.46 and 5,537.18

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Solution

The fourth proportional to 6,570.74, 9,895.46 and 5,537.18 is: 8,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.74 : 9,895.46 = 5,537.18 : x
  2. Step 2: Convert to fraction form
    6,570.74/9,895.46 = 5,537.18/x
  3. Step 3: Cross multiply
    6,570.74x = 9,895.46 × 5,537.18
  4. Step 4: Simplify right side
    6,570.74x = 54,792,943.20
  5. Step 5: Solve for x
    x = 54,792,943.20/6,570.74
  6. Step 6: Final answer
    x = 8,338.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.