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Finding the Fourth Proportional to 6,407.99, 9,569.47 and 5,532.65

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Solution

The fourth proportional to 6,407.99, 9,569.47 and 5,532.65 is: 8,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.99 : 9,569.47 = 5,532.65 : x
  2. Step 2: Convert to fraction form
    6,407.99/9,569.47 = 5,532.65/x
  3. Step 3: Cross multiply
    6,407.99x = 9,569.47 × 5,532.65
  4. Step 4: Simplify right side
    6,407.99x = 52,944,528.20
  5. Step 5: Solve for x
    x = 52,944,528.20/6,407.99
  6. Step 6: Final answer
    x = 8,262.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.