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Finding the Fourth Proportional to 7,315.72, 10,970.82 and 2,384.20

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Solution

The fourth proportional to 7,315.72, 10,970.82 and 2,384.20 is: 3,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.72 : 10,970.82 = 2,384.20 : x
  2. Step 2: Convert to fraction form
    7,315.72/10,970.82 = 2,384.20/x
  3. Step 3: Cross multiply
    7,315.72x = 10,970.82 × 2,384.20
  4. Step 4: Simplify right side
    7,315.72x = 26,156,629.04
  5. Step 5: Solve for x
    x = 26,156,629.04/7,315.72
  6. Step 6: Final answer
    x = 3,575.40

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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.