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Finding the Fourth Proportional to 7,927.95, 10,940.72 and 4,570.20

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Solution

The fourth proportional to 7,927.95, 10,940.72 and 4,570.20 is: 6,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.95 : 10,940.72 = 4,570.20 : x
  2. Step 2: Convert to fraction form
    7,927.95/10,940.72 = 4,570.20/x
  3. Step 3: Cross multiply
    7,927.95x = 10,940.72 × 4,570.20
  4. Step 4: Simplify right side
    7,927.95x = 50,001,278.54
  5. Step 5: Solve for x
    x = 50,001,278.54/7,927.95
  6. Step 6: Final answer
    x = 6,306.96

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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.