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Finding the Fourth Proportional to 6,512.99, 9,769.47 and 1,582.61

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Solution

The fourth proportional to 6,512.99, 9,769.47 and 1,582.61 is: 2,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.99 : 9,769.47 = 1,582.61 : x
  2. Step 2: Convert to fraction form
    6,512.99/9,769.47 = 1,582.61/x
  3. Step 3: Cross multiply
    6,512.99x = 9,769.47 × 1,582.61
  4. Step 4: Simplify right side
    6,512.99x = 15,461,212.07
  5. Step 5: Solve for x
    x = 15,461,212.07/6,512.99
  6. Step 6: Final answer
    x = 2,373.91

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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.