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Finding the Fourth Proportional to 9,673.81, 14,510.84 and 2,748.31

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Solution

The fourth proportional to 9,673.81, 14,510.84 and 2,748.31 is: 4,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.81 : 14,510.84 = 2,748.31 : x
  2. Step 2: Convert to fraction form
    9,673.81/14,510.84 = 2,748.31/x
  3. Step 3: Cross multiply
    9,673.81x = 14,510.84 × 2,748.31
  4. Step 4: Simplify right side
    9,673.81x = 39,880,272.94
  5. Step 5: Solve for x
    x = 39,880,272.94/9,673.81
  6. Step 6: Final answer
    x = 4,122.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.