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Finding the Fourth Proportional to 7,703.07, 11,498.88 and 6,768.90

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Solution

The fourth proportional to 7,703.07, 11,498.88 and 6,768.90 is: 10,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.07 : 11,498.88 = 6,768.90 : x
  2. Step 2: Convert to fraction form
    7,703.07/11,498.88 = 6,768.90/x
  3. Step 3: Cross multiply
    7,703.07x = 11,498.88 × 6,768.90
  4. Step 4: Simplify right side
    7,703.07x = 77,834,768.83
  5. Step 5: Solve for x
    x = 77,834,768.83/7,703.07
  6. Step 6: Final answer
    x = 10,104.38

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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.