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Finding the Fourth Proportional to 7,703.64, 11,499.74 and 6,769.47

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Solution

The fourth proportional to 7,703.64, 11,499.74 and 6,769.47 is: 10,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.64 : 11,499.74 = 6,769.47 : x
  2. Step 2: Convert to fraction form
    7,703.64/11,499.74 = 6,769.47/x
  3. Step 3: Cross multiply
    7,703.64x = 11,499.74 × 6,769.47
  4. Step 4: Simplify right side
    7,703.64x = 77,847,111.09
  5. Step 5: Solve for x
    x = 77,847,111.09/7,703.64
  6. Step 6: Final answer
    x = 10,105.24

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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.