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Finding the Fourth Proportional to 6,508.36, 9,762.48 and 3,386.77

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Solution

The fourth proportional to 6,508.36, 9,762.48 and 3,386.77 is: 5,080.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.36 : 9,762.48 = 3,386.77 : x
  2. Step 2: Convert to fraction form
    6,508.36/9,762.48 = 3,386.77/x
  3. Step 3: Cross multiply
    6,508.36x = 9,762.48 × 3,386.77
  4. Step 4: Simplify right side
    6,508.36x = 33,063,274.39
  5. Step 5: Solve for x
    x = 33,063,274.39/6,508.36
  6. Step 6: Final answer
    x = 5,080.12

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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.