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Finding the Fourth Proportional to 9,106.92, 12,535.92 and 7,852.08

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Solution

The fourth proportional to 9,106.92, 12,535.92 and 7,852.08 is: 10,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.92 : 12,535.92 = 7,852.08 : x
  2. Step 2: Convert to fraction form
    9,106.92/12,535.92 = 7,852.08/x
  3. Step 3: Cross multiply
    9,106.92x = 12,535.92 × 7,852.08
  4. Step 4: Simplify right side
    9,106.92x = 98,433,046.71
  5. Step 5: Solve for x
    x = 98,433,046.71/9,106.92
  6. Step 6: Final answer
    x = 10,808.60

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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.