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Finding the Fourth Proportional to 6,934.91, 9,558.78 and 4,695.93

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Solution

The fourth proportional to 6,934.91, 9,558.78 and 4,695.93 is: 6,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.91 : 9,558.78 = 4,695.93 : x
  2. Step 2: Convert to fraction form
    6,934.91/9,558.78 = 4,695.93/x
  3. Step 3: Cross multiply
    6,934.91x = 9,558.78 × 4,695.93
  4. Step 4: Simplify right side
    6,934.91x = 44,887,361.77
  5. Step 5: Solve for x
    x = 44,887,361.77/6,934.91
  6. Step 6: Final answer
    x = 6,472.67

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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.