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Finding the Fourth Proportional to 10,548.93, 15,809.55 and 7,762.55

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Solution

The fourth proportional to 10,548.93, 15,809.55 and 7,762.55 is: 11,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.93 : 15,809.55 = 7,762.55 : x
  2. Step 2: Convert to fraction form
    10,548.93/15,809.55 = 7,762.55/x
  3. Step 3: Cross multiply
    10,548.93x = 15,809.55 × 7,762.55
  4. Step 4: Simplify right side
    10,548.93x = 122,722,383.54
  5. Step 5: Solve for x
    x = 122,722,383.54/10,548.93
  6. Step 6: Final answer
    x = 11,633.64

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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.