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Finding the Fourth Proportional to 7,774.65, 10,729.94 and 4,418.51

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Solution

The fourth proportional to 7,774.65, 10,729.94 and 4,418.51 is: 6,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.65 : 10,729.94 = 4,418.51 : x
  2. Step 2: Convert to fraction form
    7,774.65/10,729.94 = 4,418.51/x
  3. Step 3: Cross multiply
    7,774.65x = 10,729.94 × 4,418.51
  4. Step 4: Simplify right side
    7,774.65x = 47,410,271.45
  5. Step 5: Solve for x
    x = 47,410,271.45/7,774.65
  6. Step 6: Final answer
    x = 6,098.06

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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.