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Finding the Fourth Proportional to 12,187.76, 18,281.72 and 2,953.76

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Solution

The fourth proportional to 12,187.76, 18,281.72 and 2,953.76 is: 4,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.76 : 18,281.72 = 2,953.76 : x
  2. Step 2: Convert to fraction form
    12,187.76/18,281.72 = 2,953.76/x
  3. Step 3: Cross multiply
    12,187.76x = 18,281.72 × 2,953.76
  4. Step 4: Simplify right side
    12,187.76x = 53,999,813.27
  5. Step 5: Solve for x
    x = 53,999,813.27/12,187.76
  6. Step 6: Final answer
    x = 4,430.66

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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.