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Finding the Fourth Proportional to 11,864.71, 17,803.41 and 7,703.74

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Solution

The fourth proportional to 11,864.71, 17,803.41 and 7,703.74 is: 11,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.71 : 17,803.41 = 7,703.74 : x
  2. Step 2: Convert to fraction form
    11,864.71/17,803.41 = 7,703.74/x
  3. Step 3: Cross multiply
    11,864.71x = 17,803.41 × 7,703.74
  4. Step 4: Simplify right side
    11,864.71x = 137,152,841.75
  5. Step 5: Solve for x
    x = 137,152,841.75/11,864.71
  6. Step 6: Final answer
    x = 11,559.73

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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.