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Finding the Fourth Proportional to 6,705.63, 9,253.53 and 3,721.59

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Solution

The fourth proportional to 6,705.63, 9,253.53 and 3,721.59 is: 5,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.63 : 9,253.53 = 3,721.59 : x
  2. Step 2: Convert to fraction form
    6,705.63/9,253.53 = 3,721.59/x
  3. Step 3: Cross multiply
    6,705.63x = 9,253.53 × 3,721.59
  4. Step 4: Simplify right side
    6,705.63x = 34,437,844.71
  5. Step 5: Solve for x
    x = 34,437,844.71/6,705.63
  6. Step 6: Final answer
    x = 5,135.66

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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.