Home / 13,023-17,974.98-7,437.24

Finding the Fourth Proportional to 13,023, 17,974.98 and 7,437.24

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Solution

The fourth proportional to 13,023, 17,974.98 and 7,437.24 is: 10,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023 : 17,974.98 = 7,437.24 : x
  2. Step 2: Convert to fraction form
    13,023/17,974.98 = 7,437.24/x
  3. Step 3: Cross multiply
    13,023x = 17,974.98 × 7,437.24
  4. Step 4: Simplify right side
    13,023x = 133,684,240.26
  5. Step 5: Solve for x
    x = 133,684,240.26/13,023
  6. Step 6: Final answer
    x = 10,265.24

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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.