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Finding the Fourth Proportional to 7,827.15, 11,743.16 and 7,000.14

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Solution

The fourth proportional to 7,827.15, 11,743.16 and 7,000.14 is: 10,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.15 : 11,743.16 = 7,000.14 : x
  2. Step 2: Convert to fraction form
    7,827.15/11,743.16 = 7,000.14/x
  3. Step 3: Cross multiply
    7,827.15x = 11,743.16 × 7,000.14
  4. Step 4: Simplify right side
    7,827.15x = 82,203,729.04
  5. Step 5: Solve for x
    x = 82,203,729.04/7,827.15
  6. Step 6: Final answer
    x = 10,502.38

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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.