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Finding the Fourth Proportional to 8,362.33, 11,533.34 and 7,107.53

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Solution

The fourth proportional to 8,362.33, 11,533.34 and 7,107.53 is: 9,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.33 : 11,533.34 = 7,107.53 : x
  2. Step 2: Convert to fraction form
    8,362.33/11,533.34 = 7,107.53/x
  3. Step 3: Cross multiply
    8,362.33x = 11,533.34 × 7,107.53
  4. Step 4: Simplify right side
    8,362.33x = 81,973,520.15
  5. Step 5: Solve for x
    x = 81,973,520.15/8,362.33
  6. Step 6: Final answer
    x = 9,802.72

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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.