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Finding the Fourth Proportional to 4,570.32, 6,854.88 and 1,971.12

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Solution

The fourth proportional to 4,570.32, 6,854.88 and 1,971.12 is: 2,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.32 : 6,854.88 = 1,971.12 : x
  2. Step 2: Convert to fraction form
    4,570.32/6,854.88 = 1,971.12/x
  3. Step 3: Cross multiply
    4,570.32x = 6,854.88 × 1,971.12
  4. Step 4: Simplify right side
    4,570.32x = 13,511,791.07
  5. Step 5: Solve for x
    x = 13,511,791.07/4,570.32
  6. Step 6: Final answer
    x = 2,956.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.