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Finding the Fourth Proportional to 10,834.40, 16,440.64 and 10,834.40

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Solution

The fourth proportional to 10,834.40, 16,440.64 and 10,834.40 is: 16,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.40 : 16,440.64 = 10,834.40 : x
  2. Step 2: Convert to fraction form
    10,834.40/16,440.64 = 10,834.40/x
  3. Step 3: Cross multiply
    10,834.40x = 16,440.64 × 10,834.40
  4. Step 4: Simplify right side
    10,834.40x = 178,124,470.02
  5. Step 5: Solve for x
    x = 178,124,470.02/10,834.40
  6. Step 6: Final answer
    x = 16,440.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.