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Finding the Fourth Proportional to 10,602.85, 14,625.22 and 6,830.96

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Solution

The fourth proportional to 10,602.85, 14,625.22 and 6,830.96 is: 9,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.85 : 14,625.22 = 6,830.96 : x
  2. Step 2: Convert to fraction form
    10,602.85/14,625.22 = 6,830.96/x
  3. Step 3: Cross multiply
    10,602.85x = 14,625.22 × 6,830.96
  4. Step 4: Simplify right side
    10,602.85x = 99,904,266.16
  5. Step 5: Solve for x
    x = 99,904,266.16/10,602.85
  6. Step 6: Final answer
    x = 9,422.40

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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.