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Finding the Fourth Proportional to 11,754.69, 17,632.10 and 4,737.93

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Solution

The fourth proportional to 11,754.69, 17,632.10 and 4,737.93 is: 7,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.69 : 17,632.10 = 4,737.93 : x
  2. Step 2: Convert to fraction form
    11,754.69/17,632.10 = 4,737.93/x
  3. Step 3: Cross multiply
    11,754.69x = 17,632.10 × 4,737.93
  4. Step 4: Simplify right side
    11,754.69x = 83,539,543.70
  5. Step 5: Solve for x
    x = 83,539,543.70/11,754.69
  6. Step 6: Final answer
    x = 7,106.91

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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.