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Finding the Fourth Proportional to 7,937.24, 10,931.18 and 7,765.06

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Solution

The fourth proportional to 7,937.24, 10,931.18 and 7,765.06 is: 10,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.24 : 10,931.18 = 7,765.06 : x
  2. Step 2: Convert to fraction form
    7,937.24/10,931.18 = 7,765.06/x
  3. Step 3: Cross multiply
    7,937.24x = 10,931.18 × 7,765.06
  4. Step 4: Simplify right side
    7,937.24x = 84,881,268.57
  5. Step 5: Solve for x
    x = 84,881,268.57/7,937.24
  6. Step 6: Final answer
    x = 10,694.05

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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.