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Finding the Fourth Proportional to 9,832.92, 13,564.62 and 5,852.76

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Solution

The fourth proportional to 9,832.92, 13,564.62 and 5,852.76 is: 8,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.92 : 13,564.62 = 5,852.76 : x
  2. Step 2: Convert to fraction form
    9,832.92/13,564.62 = 5,852.76/x
  3. Step 3: Cross multiply
    9,832.92x = 13,564.62 × 5,852.76
  4. Step 4: Simplify right side
    9,832.92x = 79,390,465.35
  5. Step 5: Solve for x
    x = 79,390,465.35/9,832.92
  6. Step 6: Final answer
    x = 8,073.95

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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.