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Finding the Fourth Proportional to 6,713.95, 9,267.74 and 5,765.93

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Solution

The fourth proportional to 6,713.95, 9,267.74 and 5,765.93 is: 7,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.95 : 9,267.74 = 5,765.93 : x
  2. Step 2: Convert to fraction form
    6,713.95/9,267.74 = 5,765.93/x
  3. Step 3: Cross multiply
    6,713.95x = 9,267.74 × 5,765.93
  4. Step 4: Simplify right side
    6,713.95x = 53,437,140.10
  5. Step 5: Solve for x
    x = 53,437,140.10/6,713.95
  6. Step 6: Final answer
    x = 7,959.12

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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.