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Finding the Fourth Proportional to 8,560, 11,813.76 and 4,834.24

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Solution

The fourth proportional to 8,560, 11,813.76 and 4,834.24 is: 6,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,560 : 11,813.76 = 4,834.24 : x
  2. Step 2: Convert to fraction form
    8,560/11,813.76 = 4,834.24/x
  3. Step 3: Cross multiply
    8,560x = 11,813.76 × 4,834.24
  4. Step 4: Simplify right side
    8,560x = 57,110,551.14
  5. Step 5: Solve for x
    x = 57,110,551.14/8,560
  6. Step 6: Final answer
    x = 6,671.79

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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.