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Finding the Fourth Proportional to 11,106.95, 16,641.95 and 7,813.13

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Solution

The fourth proportional to 11,106.95, 16,641.95 and 7,813.13 is: 11,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.95 : 16,641.95 = 7,813.13 : x
  2. Step 2: Convert to fraction form
    11,106.95/16,641.95 = 7,813.13/x
  3. Step 3: Cross multiply
    11,106.95x = 16,641.95 × 7,813.13
  4. Step 4: Simplify right side
    11,106.95x = 130,025,596.53
  5. Step 5: Solve for x
    x = 130,025,596.53/11,106.95
  6. Step 6: Final answer
    x = 11,706.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.