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Finding the Fourth Proportional to 10,752.54, 14,844.67 and 7,166.54

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Solution

The fourth proportional to 10,752.54, 14,844.67 and 7,166.54 is: 9,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.54 : 14,844.67 = 7,166.54 : x
  2. Step 2: Convert to fraction form
    10,752.54/14,844.67 = 7,166.54/x
  3. Step 3: Cross multiply
    10,752.54x = 14,844.67 × 7,166.54
  4. Step 4: Simplify right side
    10,752.54x = 106,384,921.34
  5. Step 5: Solve for x
    x = 106,384,921.34/10,752.54
  6. Step 6: Final answer
    x = 9,893.93

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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.