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Finding the Fourth Proportional to 6,648.67, 9,178.49 and 5,153.23

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Solution

The fourth proportional to 6,648.67, 9,178.49 and 5,153.23 is: 7,114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.67 : 9,178.49 = 5,153.23 : x
  2. Step 2: Convert to fraction form
    6,648.67/9,178.49 = 5,153.23/x
  3. Step 3: Cross multiply
    6,648.67x = 9,178.49 × 5,153.23
  4. Step 4: Simplify right side
    6,648.67x = 47,298,798.36
  5. Step 5: Solve for x
    x = 47,298,798.36/6,648.67
  6. Step 6: Final answer
    x = 7,114.03

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Double scale
Find fourth proportional to 6,649.67, 9,179.87 and 5,154.23
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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.