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Finding the Fourth Proportional to 10,091.84, 15,114.42 and 7,733.93

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Solution

The fourth proportional to 10,091.84, 15,114.42 and 7,733.93 is: 11,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.84 : 15,114.42 = 7,733.93 : x
  2. Step 2: Convert to fraction form
    10,091.84/15,114.42 = 7,733.93/x
  3. Step 3: Cross multiply
    10,091.84x = 15,114.42 × 7,733.93
  4. Step 4: Simplify right side
    10,091.84x = 116,893,790.70
  5. Step 5: Solve for x
    x = 116,893,790.70/10,091.84
  6. Step 6: Final answer
    x = 11,583.01

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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.