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Finding the Fourth Proportional to 9,777.42, 13,480.16 and 6,234.48

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Solution

The fourth proportional to 9,777.42, 13,480.16 and 6,234.48 is: 8,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.42 : 13,480.16 = 6,234.48 : x
  2. Step 2: Convert to fraction form
    9,777.42/13,480.16 = 6,234.48/x
  3. Step 3: Cross multiply
    9,777.42x = 13,480.16 × 6,234.48
  4. Step 4: Simplify right side
    9,777.42x = 84,041,756.74
  5. Step 5: Solve for x
    x = 84,041,756.74/9,777.42
  6. Step 6: Final answer
    x = 8,595.49

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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.