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Finding the Fourth Proportional to 7,702.76, 11,573.16 and 4,930.64

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Solution

The fourth proportional to 7,702.76, 11,573.16 and 4,930.64 is: 7,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.76 : 11,573.16 = 4,930.64 : x
  2. Step 2: Convert to fraction form
    7,702.76/11,573.16 = 4,930.64/x
  3. Step 3: Cross multiply
    7,702.76x = 11,573.16 × 4,930.64
  4. Step 4: Simplify right side
    7,702.76x = 57,063,085.62
  5. Step 5: Solve for x
    x = 57,063,085.62/7,702.76
  6. Step 6: Final answer
    x = 7,408.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.