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Finding the Fourth Proportional to 7,058.46, 9,740.65 and 3,914.65

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Solution

The fourth proportional to 7,058.46, 9,740.65 and 3,914.65 is: 5,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.46 : 9,740.65 = 3,914.65 : x
  2. Step 2: Convert to fraction form
    7,058.46/9,740.65 = 3,914.65/x
  3. Step 3: Cross multiply
    7,058.46x = 9,740.65 × 3,914.65
  4. Step 4: Simplify right side
    7,058.46x = 38,131,235.52
  5. Step 5: Solve for x
    x = 38,131,235.52/7,058.46
  6. Step 6: Final answer
    x = 5,402.20

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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.