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Finding the Fourth Proportional to 9,791.84, 14,688.12 and 2,866.16

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Solution

The fourth proportional to 9,791.84, 14,688.12 and 2,866.16 is: 4,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.84 : 14,688.12 = 2,866.16 : x
  2. Step 2: Convert to fraction form
    9,791.84/14,688.12 = 2,866.16/x
  3. Step 3: Cross multiply
    9,791.84x = 14,688.12 × 2,866.16
  4. Step 4: Simplify right side
    9,791.84x = 42,098,502.02
  5. Step 5: Solve for x
    x = 42,098,502.02/9,791.84
  6. Step 6: Final answer
    x = 4,299.35

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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.