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Finding the Fourth Proportional to 6,952.61, 10,428.92 and 1,758.48

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Solution

The fourth proportional to 6,952.61, 10,428.92 and 1,758.48 is: 2,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.61 : 10,428.92 = 1,758.48 : x
  2. Step 2: Convert to fraction form
    6,952.61/10,428.92 = 1,758.48/x
  3. Step 3: Cross multiply
    6,952.61x = 10,428.92 × 1,758.48
  4. Step 4: Simplify right side
    6,952.61x = 18,339,038.45
  5. Step 5: Solve for x
    x = 18,339,038.45/6,952.61
  6. Step 6: Final answer
    x = 2,637.72

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1.5x scale

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.