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Finding the Fourth Proportional to 7,897.96, 10,891.02 and 6,782.59

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Solution

The fourth proportional to 7,897.96, 10,891.02 and 6,782.59 is: 9,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.96 : 10,891.02 = 6,782.59 : x
  2. Step 2: Convert to fraction form
    7,897.96/10,891.02 = 6,782.59/x
  3. Step 3: Cross multiply
    7,897.96x = 10,891.02 × 6,782.59
  4. Step 4: Simplify right side
    7,897.96x = 73,869,323.34
  5. Step 5: Solve for x
    x = 73,869,323.34/7,897.96
  6. Step 6: Final answer
    x = 9,352.96

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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.