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Finding the Fourth Proportional to 7,702.88, 10,630.02 and 4,345.76

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Solution

The fourth proportional to 7,702.88, 10,630.02 and 4,345.76 is: 5,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.88 : 10,630.02 = 4,345.76 : x
  2. Step 2: Convert to fraction form
    7,702.88/10,630.02 = 4,345.76/x
  3. Step 3: Cross multiply
    7,702.88x = 10,630.02 × 4,345.76
  4. Step 4: Simplify right side
    7,702.88x = 46,195,515.72
  5. Step 5: Solve for x
    x = 46,195,515.72/7,702.88
  6. Step 6: Final answer
    x = 5,997.17

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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.