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Finding the Fourth Proportional to 7,037.76, 9,687.04 and 6,151.36

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Solution

The fourth proportional to 7,037.76, 9,687.04 and 6,151.36 is: 8,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.76 : 9,687.04 = 6,151.36 : x
  2. Step 2: Convert to fraction form
    7,037.76/9,687.04 = 6,151.36/x
  3. Step 3: Cross multiply
    7,037.76x = 9,687.04 × 6,151.36
  4. Step 4: Simplify right side
    7,037.76x = 59,588,470.37
  5. Step 5: Solve for x
    x = 59,588,470.37/7,037.76
  6. Step 6: Final answer
    x = 8,466.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.