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Finding the Fourth Proportional to 9,694.42, 13,376.04 and 7,037.21

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Solution

The fourth proportional to 9,694.42, 13,376.04 and 7,037.21 is: 9,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.42 : 13,376.04 = 7,037.21 : x
  2. Step 2: Convert to fraction form
    9,694.42/13,376.04 = 7,037.21/x
  3. Step 3: Cross multiply
    9,694.42x = 13,376.04 × 7,037.21
  4. Step 4: Simplify right side
    9,694.42x = 94,130,009.50
  5. Step 5: Solve for x
    x = 94,130,009.50/9,694.42
  6. Step 6: Final answer
    x = 9,709.71

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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.