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Finding the Fourth Proportional to 9,712.50, 13,395.96 and 6,733.32

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Solution

The fourth proportional to 9,712.50, 13,395.96 and 6,733.32 is: 9,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.50 : 13,395.96 = 6,733.32 : x
  2. Step 2: Convert to fraction form
    9,712.50/13,395.96 = 6,733.32/x
  3. Step 3: Cross multiply
    9,712.50x = 13,395.96 × 6,733.32
  4. Step 4: Simplify right side
    9,712.50x = 90,199,285.39
  5. Step 5: Solve for x
    x = 90,199,285.39/9,712.50
  6. Step 6: Final answer
    x = 9,286.93

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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.