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Finding the Fourth Proportional to 7,133.86, 9,835.14 and 5,006.56

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Solution

The fourth proportional to 7,133.86, 9,835.14 and 5,006.56 is: 6,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.86 : 9,835.14 = 5,006.56 : x
  2. Step 2: Convert to fraction form
    7,133.86/9,835.14 = 5,006.56/x
  3. Step 3: Cross multiply
    7,133.86x = 9,835.14 × 5,006.56
  4. Step 4: Simplify right side
    7,133.86x = 49,240,218.52
  5. Step 5: Solve for x
    x = 49,240,218.52/7,133.86
  6. Step 6: Final answer
    x = 6,902.32

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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.