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Finding the Fourth Proportional to 9,777.78, 14,674.77 and 4,848.93

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Solution

The fourth proportional to 9,777.78, 14,674.77 and 4,848.93 is: 7,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.78 : 14,674.77 = 4,848.93 : x
  2. Step 2: Convert to fraction form
    9,777.78/14,674.77 = 4,848.93/x
  3. Step 3: Cross multiply
    9,777.78x = 14,674.77 × 4,848.93
  4. Step 4: Simplify right side
    9,777.78x = 71,156,932.50
  5. Step 5: Solve for x
    x = 71,156,932.50/9,777.78
  6. Step 6: Final answer
    x = 7,277.41

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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.