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Finding the Fourth Proportional to 10,049.77, 13,869.02 and 6,070.09

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Solution

The fourth proportional to 10,049.77, 13,869.02 and 6,070.09 is: 8,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.77 : 13,869.02 = 6,070.09 : x
  2. Step 2: Convert to fraction form
    10,049.77/13,869.02 = 6,070.09/x
  3. Step 3: Cross multiply
    10,049.77x = 13,869.02 × 6,070.09
  4. Step 4: Simplify right side
    10,049.77x = 84,186,199.61
  5. Step 5: Solve for x
    x = 84,186,199.61/10,049.77
  6. Step 6: Final answer
    x = 8,376.93

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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.