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Finding the Fourth Proportional to 8,313.98, 11,471.70 and 4,957.10

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Solution

The fourth proportional to 8,313.98, 11,471.70 and 4,957.10 is: 6,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.98 : 11,471.70 = 4,957.10 : x
  2. Step 2: Convert to fraction form
    8,313.98/11,471.70 = 4,957.10/x
  3. Step 3: Cross multiply
    8,313.98x = 11,471.70 × 4,957.10
  4. Step 4: Simplify right side
    8,313.98x = 56,866,364.07
  5. Step 5: Solve for x
    x = 56,866,364.07/8,313.98
  6. Step 6: Final answer
    x = 6,839.85

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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.