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Finding the Fourth Proportional to 7,309.62, 10,952.91 and 4,384.26

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Solution

The fourth proportional to 7,309.62, 10,952.91 and 4,384.26 is: 6,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.62 : 10,952.91 = 4,384.26 : x
  2. Step 2: Convert to fraction form
    7,309.62/10,952.91 = 4,384.26/x
  3. Step 3: Cross multiply
    7,309.62x = 10,952.91 × 4,384.26
  4. Step 4: Simplify right side
    7,309.62x = 48,020,405.20
  5. Step 5: Solve for x
    x = 48,020,405.20/7,309.62
  6. Step 6: Final answer
    x = 6,569.48

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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.