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Finding the Fourth Proportional to 7,833.52, 10,811.64 and 4,648.57

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Solution

The fourth proportional to 7,833.52, 10,811.64 and 4,648.57 is: 6,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.52 : 10,811.64 = 4,648.57 : x
  2. Step 2: Convert to fraction form
    7,833.52/10,811.64 = 4,648.57/x
  3. Step 3: Cross multiply
    7,833.52x = 10,811.64 × 4,648.57
  4. Step 4: Simplify right side
    7,833.52x = 50,258,679.34
  5. Step 5: Solve for x
    x = 50,258,679.34/7,833.52
  6. Step 6: Final answer
    x = 6,415.85

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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.