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Finding the Fourth Proportional to 11,655.84, 16,085.10 and 6,350.70

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Solution

The fourth proportional to 11,655.84, 16,085.10 and 6,350.70 is: 8,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.84 : 16,085.10 = 6,350.70 : x
  2. Step 2: Convert to fraction form
    11,655.84/16,085.10 = 6,350.70/x
  3. Step 3: Cross multiply
    11,655.84x = 16,085.10 × 6,350.70
  4. Step 4: Simplify right side
    11,655.84x = 102,151,644.57
  5. Step 5: Solve for x
    x = 102,151,644.57/11,655.84
  6. Step 6: Final answer
    x = 8,763.99

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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.