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Finding the Fourth Proportional to 3,846.09, 5,769.14 and 924.40

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Solution

The fourth proportional to 3,846.09, 5,769.14 and 924.40 is: 1,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.09 : 5,769.14 = 924.40 : x
  2. Step 2: Convert to fraction form
    3,846.09/5,769.14 = 924.40/x
  3. Step 3: Cross multiply
    3,846.09x = 5,769.14 × 924.40
  4. Step 4: Simplify right side
    3,846.09x = 5,332,966.76
  5. Step 5: Solve for x
    x = 5,332,966.76/3,846.09
  6. Step 6: Final answer
    x = 1,386.59

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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.