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Finding the Fourth Proportional to 5,927.13, 8,890.70 and 1,823.13

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Solution

The fourth proportional to 5,927.13, 8,890.70 and 1,823.13 is: 2,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.13 : 8,890.70 = 1,823.13 : x
  2. Step 2: Convert to fraction form
    5,927.13/8,890.70 = 1,823.13/x
  3. Step 3: Cross multiply
    5,927.13x = 8,890.70 × 1,823.13
  4. Step 4: Simplify right side
    5,927.13x = 16,208,901.89
  5. Step 5: Solve for x
    x = 16,208,901.89/5,927.13
  6. Step 6: Final answer
    x = 2,734.70

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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.