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Finding the Fourth Proportional to 11,083, 15,296.70 and 6,607.48

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Solution

The fourth proportional to 11,083, 15,296.70 and 6,607.48 is: 9,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083 : 15,296.70 = 6,607.48 : x
  2. Step 2: Convert to fraction form
    11,083/15,296.70 = 6,607.48/x
  3. Step 3: Cross multiply
    11,083x = 15,296.70 × 6,607.48
  4. Step 4: Simplify right side
    11,083x = 101,072,639.32
  5. Step 5: Solve for x
    x = 101,072,639.32/11,083
  6. Step 6: Final answer
    x = 9,119.61

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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.