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Finding the Fourth Proportional to 6,935.04, 9,570.06 and 3,791.16

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Solution

The fourth proportional to 6,935.04, 9,570.06 and 3,791.16 is: 5,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.04 : 9,570.06 = 3,791.16 : x
  2. Step 2: Convert to fraction form
    6,935.04/9,570.06 = 3,791.16/x
  3. Step 3: Cross multiply
    6,935.04x = 9,570.06 × 3,791.16
  4. Step 4: Simplify right side
    6,935.04x = 36,281,628.67
  5. Step 5: Solve for x
    x = 36,281,628.67/6,935.04
  6. Step 6: Final answer
    x = 5,231.64

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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.