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Finding the Fourth Proportional to 13,935, 19,232.73 and 7,966.92

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Solution

The fourth proportional to 13,935, 19,232.73 and 7,966.92 is: 10,995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935 : 19,232.73 = 7,966.92 : x
  2. Step 2: Convert to fraction form
    13,935/19,232.73 = 7,966.92/x
  3. Step 3: Cross multiply
    13,935x = 19,232.73 × 7,966.92
  4. Step 4: Simplify right side
    13,935x = 153,225,621.29
  5. Step 5: Solve for x
    x = 153,225,621.29/13,935
  6. Step 6: Final answer
    x = 10,995.74

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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.