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Finding the Fourth Proportional to 9,202.63, 12,699.57 and 5,010.88

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Solution

The fourth proportional to 9,202.63, 12,699.57 and 5,010.88 is: 6,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.63 : 12,699.57 = 5,010.88 : x
  2. Step 2: Convert to fraction form
    9,202.63/12,699.57 = 5,010.88/x
  3. Step 3: Cross multiply
    9,202.63x = 12,699.57 × 5,010.88
  4. Step 4: Simplify right side
    9,202.63x = 63,636,021.32
  5. Step 5: Solve for x
    x = 63,636,021.32/9,202.63
  6. Step 6: Final answer
    x = 6,914.98

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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.