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Finding the Fourth Proportional to 6,143.58, 9,214.01 and 1,760.06

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Solution

The fourth proportional to 6,143.58, 9,214.01 and 1,760.06 is: 2,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.58 : 9,214.01 = 1,760.06 : x
  2. Step 2: Convert to fraction form
    6,143.58/9,214.01 = 1,760.06/x
  3. Step 3: Cross multiply
    6,143.58x = 9,214.01 × 1,760.06
  4. Step 4: Simplify right side
    6,143.58x = 16,217,210.44
  5. Step 5: Solve for x
    x = 16,217,210.44/6,143.58
  6. Step 6: Final answer
    x = 2,639.70

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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.