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Finding the Fourth Proportional to 6,061.68, 8,364.80 and 3,409

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Solution

The fourth proportional to 6,061.68, 8,364.80 and 3,409 is: 4,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.68 : 8,364.80 = 3,409 : x
  2. Step 2: Convert to fraction form
    6,061.68/8,364.80 = 3,409/x
  3. Step 3: Cross multiply
    6,061.68x = 8,364.80 × 3,409
  4. Step 4: Simplify right side
    6,061.68x = 28,515,603.20
  5. Step 5: Solve for x
    x = 28,515,603.20/6,061.68
  6. Step 6: Final answer
    x = 4,704.24

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Double scale
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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.