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Finding the Fourth Proportional to 6,506.99, 9,758.92 and 1,827.20

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Solution

The fourth proportional to 6,506.99, 9,758.92 and 1,827.20 is: 2,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.99 : 9,758.92 = 1,827.20 : x
  2. Step 2: Convert to fraction form
    6,506.99/9,758.92 = 1,827.20/x
  3. Step 3: Cross multiply
    6,506.99x = 9,758.92 × 1,827.20
  4. Step 4: Simplify right side
    6,506.99x = 17,831,498.62
  5. Step 5: Solve for x
    x = 17,831,498.62/6,506.99
  6. Step 6: Final answer
    x = 2,740.36

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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.