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Finding the Fourth Proportional to 11,357.42, 15,670.84 and 6,640.80

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Solution

The fourth proportional to 11,357.42, 15,670.84 and 6,640.80 is: 9,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.42 : 15,670.84 = 6,640.80 : x
  2. Step 2: Convert to fraction form
    11,357.42/15,670.84 = 6,640.80/x
  3. Step 3: Cross multiply
    11,357.42x = 15,670.84 × 6,640.80
  4. Step 4: Simplify right side
    11,357.42x = 104,066,914.27
  5. Step 5: Solve for x
    x = 104,066,914.27/11,357.42
  6. Step 6: Final answer
    x = 9,162.90

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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.