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Finding the Fourth Proportional to 9,201.50, 12,699.51 and 5,477.66

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Solution

The fourth proportional to 9,201.50, 12,699.51 and 5,477.66 is: 7,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.50 : 12,699.51 = 5,477.66 : x
  2. Step 2: Convert to fraction form
    9,201.50/12,699.51 = 5,477.66/x
  3. Step 3: Cross multiply
    9,201.50x = 12,699.51 × 5,477.66
  4. Step 4: Simplify right side
    9,201.50x = 69,563,597.95
  5. Step 5: Solve for x
    x = 69,563,597.95/9,201.50
  6. Step 6: Final answer
    x = 7,560.03

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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.