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Finding the Fourth Proportional to 9,471.78, 13,070.49 and 5,222.64

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Solution

The fourth proportional to 9,471.78, 13,070.49 and 5,222.64 is: 7,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.78 : 13,070.49 = 5,222.64 : x
  2. Step 2: Convert to fraction form
    9,471.78/13,070.49 = 5,222.64/x
  3. Step 3: Cross multiply
    9,471.78x = 13,070.49 × 5,222.64
  4. Step 4: Simplify right side
    9,471.78x = 68,262,463.89
  5. Step 5: Solve for x
    x = 68,262,463.89/9,471.78
  6. Step 6: Final answer
    x = 7,206.93

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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.