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Finding the Fourth Proportional to 7,224.95, 10,830.13 and 3,931.22

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Solution

The fourth proportional to 7,224.95, 10,830.13 and 3,931.22 is: 5,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.95 : 10,830.13 = 3,931.22 : x
  2. Step 2: Convert to fraction form
    7,224.95/10,830.13 = 3,931.22/x
  3. Step 3: Cross multiply
    7,224.95x = 10,830.13 × 3,931.22
  4. Step 4: Simplify right side
    7,224.95x = 42,575,623.66
  5. Step 5: Solve for x
    x = 42,575,623.66/7,224.95
  6. Step 6: Final answer
    x = 5,892.86

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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.