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Finding the Fourth Proportional to 12,377.77, 18,572.78 and 5,804.46

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Solution

The fourth proportional to 12,377.77, 18,572.78 and 5,804.46 is: 8,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.77 : 18,572.78 = 5,804.46 : x
  2. Step 2: Convert to fraction form
    12,377.77/18,572.78 = 5,804.46/x
  3. Step 3: Cross multiply
    12,377.77x = 18,572.78 × 5,804.46
  4. Step 4: Simplify right side
    12,377.77x = 107,804,973.11
  5. Step 5: Solve for x
    x = 107,804,973.11/12,377.77
  6. Step 6: Final answer
    x = 8,709.57

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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.