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Finding the Fourth Proportional to 10,643.93, 14,688.68 and 5,928.22

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Solution

The fourth proportional to 10,643.93, 14,688.68 and 5,928.22 is: 8,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.93 : 14,688.68 = 5,928.22 : x
  2. Step 2: Convert to fraction form
    10,643.93/14,688.68 = 5,928.22/x
  3. Step 3: Cross multiply
    10,643.93x = 14,688.68 × 5,928.22
  4. Step 4: Simplify right side
    10,643.93x = 87,077,660.19
  5. Step 5: Solve for x
    x = 87,077,660.19/10,643.93
  6. Step 6: Final answer
    x = 8,180.97

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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.