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Finding the Fourth Proportional to 7,898.41, 10,894.93 and 4,709.66

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Solution

The fourth proportional to 7,898.41, 10,894.93 and 4,709.66 is: 6,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.41 : 10,894.93 = 4,709.66 : x
  2. Step 2: Convert to fraction form
    7,898.41/10,894.93 = 4,709.66/x
  3. Step 3: Cross multiply
    7,898.41x = 10,894.93 × 4,709.66
  4. Step 4: Simplify right side
    7,898.41x = 51,311,457.98
  5. Step 5: Solve for x
    x = 51,311,457.98/7,898.41
  6. Step 6: Final answer
    x = 6,496.43

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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.