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Finding the Fourth Proportional to 5,294.94, 7,943.51 and 1,597.51

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Solution

The fourth proportional to 5,294.94, 7,943.51 and 1,597.51 is: 2,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.94 : 7,943.51 = 1,597.51 : x
  2. Step 2: Convert to fraction form
    5,294.94/7,943.51 = 1,597.51/x
  3. Step 3: Cross multiply
    5,294.94x = 7,943.51 × 1,597.51
  4. Step 4: Simplify right side
    5,294.94x = 12,689,836.66
  5. Step 5: Solve for x
    x = 12,689,836.66/5,294.94
  6. Step 6: Final answer
    x = 2,396.60

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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.