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Finding the Fourth Proportional to 4,048.64, 6,072.10 and 1,707.74

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Solution

The fourth proportional to 4,048.64, 6,072.10 and 1,707.74 is: 2,561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.64 : 6,072.10 = 1,707.74 : x
  2. Step 2: Convert to fraction form
    4,048.64/6,072.10 = 1,707.74/x
  3. Step 3: Cross multiply
    4,048.64x = 6,072.10 × 1,707.74
  4. Step 4: Simplify right side
    4,048.64x = 10,369,556.19
  5. Step 5: Solve for x
    x = 10,369,556.19/4,048.64
  6. Step 6: Final answer
    x = 2,561.25

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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.