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Finding the Fourth Proportional to 7,470.63, 10,309.73 and 4,113.68

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Solution

The fourth proportional to 7,470.63, 10,309.73 and 4,113.68 is: 5,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.63 : 10,309.73 = 4,113.68 : x
  2. Step 2: Convert to fraction form
    7,470.63/10,309.73 = 4,113.68/x
  3. Step 3: Cross multiply
    7,470.63x = 10,309.73 × 4,113.68
  4. Step 4: Simplify right side
    7,470.63x = 42,410,857.99
  5. Step 5: Solve for x
    x = 42,410,857.99/7,470.63
  6. Step 6: Final answer
    x = 5,677.01

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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.