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Finding the Fourth Proportional to 6,952.16, 10,428.24 and 1,758.02

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Solution

The fourth proportional to 6,952.16, 10,428.24 and 1,758.02 is: 2,637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.16 : 10,428.24 = 1,758.02 : x
  2. Step 2: Convert to fraction form
    6,952.16/10,428.24 = 1,758.02/x
  3. Step 3: Cross multiply
    6,952.16x = 10,428.24 × 1,758.02
  4. Step 4: Simplify right side
    6,952.16x = 18,333,054.48
  5. Step 5: Solve for x
    x = 18,333,054.48/6,952.16
  6. Step 6: Final answer
    x = 2,637.03

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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.