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Finding the Fourth Proportional to 10,546.66, 15,840.48 and 7,762.33

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Solution

The fourth proportional to 10,546.66, 15,840.48 and 7,762.33 is: 11,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.66 : 15,840.48 = 7,762.33 : x
  2. Step 2: Convert to fraction form
    10,546.66/15,840.48 = 7,762.33/x
  3. Step 3: Cross multiply
    10,546.66x = 15,840.48 × 7,762.33
  4. Step 4: Simplify right side
    10,546.66x = 122,959,033.12
  5. Step 5: Solve for x
    x = 122,959,033.12/10,546.66
  6. Step 6: Final answer
    x = 11,658.58

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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.