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Finding the Fourth Proportional to 10,913.16, 15,076.62 and 8,813.64

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Solution

The fourth proportional to 10,913.16, 15,076.62 and 8,813.64 is: 12,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.16 : 15,076.62 = 8,813.64 : x
  2. Step 2: Convert to fraction form
    10,913.16/15,076.62 = 8,813.64/x
  3. Step 3: Cross multiply
    10,913.16x = 15,076.62 × 8,813.64
  4. Step 4: Simplify right side
    10,913.16x = 132,879,901.10
  5. Step 5: Solve for x
    x = 132,879,901.10/10,913.16
  6. Step 6: Final answer
    x = 12,176.12

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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.