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Finding the Fourth Proportional to 6,047, 8,342.76 and 3,809.06

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Solution

The fourth proportional to 6,047, 8,342.76 and 3,809.06 is: 5,255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047 : 8,342.76 = 3,809.06 : x
  2. Step 2: Convert to fraction form
    6,047/8,342.76 = 3,809.06/x
  3. Step 3: Cross multiply
    6,047x = 8,342.76 × 3,809.06
  4. Step 4: Simplify right side
    6,047x = 31,778,073.41
  5. Step 5: Solve for x
    x = 31,778,073.41/6,047
  6. Step 6: Final answer
    x = 5,255.18

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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.