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Finding the Fourth Proportional to 10,378.71, 14,323.05 and 5,903.25

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Solution

The fourth proportional to 10,378.71, 14,323.05 and 5,903.25 is: 8,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.71 : 14,323.05 = 5,903.25 : x
  2. Step 2: Convert to fraction form
    10,378.71/14,323.05 = 5,903.25/x
  3. Step 3: Cross multiply
    10,378.71x = 14,323.05 × 5,903.25
  4. Step 4: Simplify right side
    10,378.71x = 84,552,544.91
  5. Step 5: Solve for x
    x = 84,552,544.91/10,378.71
  6. Step 6: Final answer
    x = 8,146.73

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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.