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Finding the Fourth Proportional to 4,570.74, 6,823.04 and 4,017.18

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Solution

The fourth proportional to 4,570.74, 6,823.04 and 4,017.18 is: 5,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.74 : 6,823.04 = 4,017.18 : x
  2. Step 2: Convert to fraction form
    4,570.74/6,823.04 = 4,017.18/x
  3. Step 3: Cross multiply
    4,570.74x = 6,823.04 × 4,017.18
  4. Step 4: Simplify right side
    4,570.74x = 27,409,379.83
  5. Step 5: Solve for x
    x = 27,409,379.83/4,570.74
  6. Step 6: Final answer
    x = 5,996.71

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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.