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Finding the Fourth Proportional to 7,071.93, 9,761.99 and 4,713.21

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Solution

The fourth proportional to 7,071.93, 9,761.99 and 4,713.21 is: 6,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.93 : 9,761.99 = 4,713.21 : x
  2. Step 2: Convert to fraction form
    7,071.93/9,761.99 = 4,713.21/x
  3. Step 3: Cross multiply
    7,071.93x = 9,761.99 × 4,713.21
  4. Step 4: Simplify right side
    7,071.93x = 46,010,285.32
  5. Step 5: Solve for x
    x = 46,010,285.32/7,071.93
  6. Step 6: Final answer
    x = 6,506.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.