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Finding the Fourth Proportional to 7,787, 10,746.06 and 5,799.26

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Solution

The fourth proportional to 7,787, 10,746.06 and 5,799.26 is: 8,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787 : 10,746.06 = 5,799.26 : x
  2. Step 2: Convert to fraction form
    7,787/10,746.06 = 5,799.26/x
  3. Step 3: Cross multiply
    7,787x = 10,746.06 × 5,799.26
  4. Step 4: Simplify right side
    7,787x = 62,319,195.92
  5. Step 5: Solve for x
    x = 62,319,195.92/7,787
  6. Step 6: Final answer
    x = 8,002.98

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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.