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Finding the Fourth Proportional to 17,154.24, 25,731.12 and 4,842.24

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Solution

The fourth proportional to 17,154.24, 25,731.12 and 4,842.24 is: 7,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.24 : 25,731.12 = 4,842.24 : x
  2. Step 2: Convert to fraction form
    17,154.24/25,731.12 = 4,842.24/x
  3. Step 3: Cross multiply
    17,154.24x = 25,731.12 × 4,842.24
  4. Step 4: Simplify right side
    17,154.24x = 124,596,258.51
  5. Step 5: Solve for x
    x = 124,596,258.51/17,154.24
  6. Step 6: Final answer
    x = 7,263.29

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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.