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Finding the Fourth Proportional to 6,569.24, 9,854.48 and 1,889.24

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Solution

The fourth proportional to 6,569.24, 9,854.48 and 1,889.24 is: 2,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.24 : 9,854.48 = 1,889.24 : x
  2. Step 2: Convert to fraction form
    6,569.24/9,854.48 = 1,889.24/x
  3. Step 3: Cross multiply
    6,569.24x = 9,854.48 × 1,889.24
  4. Step 4: Simplify right side
    6,569.24x = 18,617,477.80
  5. Step 5: Solve for x
    x = 18,617,477.80/6,569.24
  6. Step 6: Final answer
    x = 2,834.04

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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.