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Finding the Fourth Proportional to 7,702.74, 10,624.77 and 4,717.49

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Solution

The fourth proportional to 7,702.74, 10,624.77 and 4,717.49 is: 6,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.74 : 10,624.77 = 4,717.49 : x
  2. Step 2: Convert to fraction form
    7,702.74/10,624.77 = 4,717.49/x
  3. Step 3: Cross multiply
    7,702.74x = 10,624.77 × 4,717.49
  4. Step 4: Simplify right side
    7,702.74x = 50,122,193.10
  5. Step 5: Solve for x
    x = 50,122,193.10/7,702.74
  6. Step 6: Final answer
    x = 6,507.06

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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.