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Finding the Fourth Proportional to 10,315.68, 15,471.02 and 4,763.68

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Solution

The fourth proportional to 10,315.68, 15,471.02 and 4,763.68 is: 7,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.68 : 15,471.02 = 4,763.68 : x
  2. Step 2: Convert to fraction form
    10,315.68/15,471.02 = 4,763.68/x
  3. Step 3: Cross multiply
    10,315.68x = 15,471.02 × 4,763.68
  4. Step 4: Simplify right side
    10,315.68x = 73,699,048.81
  5. Step 5: Solve for x
    x = 73,699,048.81/10,315.68
  6. Step 6: Final answer
    x = 7,144.37

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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.