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Finding the Fourth Proportional to 7,702.52, 10,629.30 and 4,558.76

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Solution

The fourth proportional to 7,702.52, 10,629.30 and 4,558.76 is: 6,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.52 : 10,629.30 = 4,558.76 : x
  2. Step 2: Convert to fraction form
    7,702.52/10,629.30 = 4,558.76/x
  3. Step 3: Cross multiply
    7,702.52x = 10,629.30 × 4,558.76
  4. Step 4: Simplify right side
    7,702.52x = 48,456,427.67
  5. Step 5: Solve for x
    x = 48,456,427.67/7,702.52
  6. Step 6: Final answer
    x = 6,290.98

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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.