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Finding the Fourth Proportional to 9,858.92, 13,601.80 and 6,324.08

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Solution

The fourth proportional to 9,858.92, 13,601.80 and 6,324.08 is: 8,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.92 : 13,601.80 = 6,324.08 : x
  2. Step 2: Convert to fraction form
    9,858.92/13,601.80 = 6,324.08/x
  3. Step 3: Cross multiply
    9,858.92x = 13,601.80 × 6,324.08
  4. Step 4: Simplify right side
    9,858.92x = 86,018,871.34
  5. Step 5: Solve for x
    x = 86,018,871.34/9,858.92
  6. Step 6: Final answer
    x = 8,724.98

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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.