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Finding the Fourth Proportional to 8,670.81, 11,965.71 and 4,894.74

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Solution

The fourth proportional to 8,670.81, 11,965.71 and 4,894.74 is: 6,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.81 : 11,965.71 = 4,894.74 : x
  2. Step 2: Convert to fraction form
    8,670.81/11,965.71 = 4,894.74/x
  3. Step 3: Cross multiply
    8,670.81x = 11,965.71 × 4,894.74
  4. Step 4: Simplify right side
    8,670.81x = 58,569,039.37
  5. Step 5: Solve for x
    x = 58,569,039.37/8,670.81
  6. Step 6: Final answer
    x = 6,754.74

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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.