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Finding the Fourth Proportional to 9,313.91, 13,970.82 and 2,293.91

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Solution

The fourth proportional to 9,313.91, 13,970.82 and 2,293.91 is: 3,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.91 : 13,970.82 = 2,293.91 : x
  2. Step 2: Convert to fraction form
    9,313.91/13,970.82 = 2,293.91/x
  3. Step 3: Cross multiply
    9,313.91x = 13,970.82 × 2,293.91
  4. Step 4: Simplify right side
    9,313.91x = 32,047,803.71
  5. Step 5: Solve for x
    x = 32,047,803.71/9,313.91
  6. Step 6: Final answer
    x = 3,440.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.