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Finding the Fourth Proportional to 7,702.60, 10,626.95 and 6,283.82

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Solution

The fourth proportional to 7,702.60, 10,626.95 and 6,283.82 is: 8,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.60 : 10,626.95 = 6,283.82 : x
  2. Step 2: Convert to fraction form
    7,702.60/10,626.95 = 6,283.82/x
  3. Step 3: Cross multiply
    7,702.60x = 10,626.95 × 6,283.82
  4. Step 4: Simplify right side
    7,702.60x = 66,777,803.52
  5. Step 5: Solve for x
    x = 66,777,803.52/7,702.60
  6. Step 6: Final answer
    x = 8,669.52

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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.