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Finding the Fourth Proportional to 7,017.24, 10,525.86 and 1,823.10

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Solution

The fourth proportional to 7,017.24, 10,525.86 and 1,823.10 is: 2,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.24 : 10,525.86 = 1,823.10 : x
  2. Step 2: Convert to fraction form
    7,017.24/10,525.86 = 1,823.10/x
  3. Step 3: Cross multiply
    7,017.24x = 10,525.86 × 1,823.10
  4. Step 4: Simplify right side
    7,017.24x = 19,189,695.37
  5. Step 5: Solve for x
    x = 19,189,695.37/7,017.24
  6. Step 6: Final answer
    x = 2,734.65

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Similar ratio
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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.