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Finding the Fourth Proportional to 4,574.78, 6,298.76 and 4,035.78

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Solution

The fourth proportional to 4,574.78, 6,298.76 and 4,035.78 is: 5,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.78 : 6,298.76 = 4,035.78 : x
  2. Step 2: Convert to fraction form
    4,574.78/6,298.76 = 4,035.78/x
  3. Step 3: Cross multiply
    4,574.78x = 6,298.76 × 4,035.78
  4. Step 4: Simplify right side
    4,574.78x = 25,420,409.63
  5. Step 5: Solve for x
    x = 25,420,409.63/4,574.78
  6. Step 6: Final answer
    x = 5,556.64

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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.