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Finding the Fourth Proportional to 10,673.57, 14,731.00 and 5,958.16

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Solution

The fourth proportional to 10,673.57, 14,731.00 and 5,958.16 is: 8,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.57 : 14,731.00 = 5,958.16 : x
  2. Step 2: Convert to fraction form
    10,673.57/14,731.00 = 5,958.16/x
  3. Step 3: Cross multiply
    10,673.57x = 14,731.00 × 5,958.16
  4. Step 4: Simplify right side
    10,673.57x = 87,769,603.24
  5. Step 5: Solve for x
    x = 87,769,603.24/10,673.57
  6. Step 6: Final answer
    x = 8,223.08

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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.