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Finding the Fourth Proportional to 12,735, 17,574.54 and 7,145.88

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Solution

The fourth proportional to 12,735, 17,574.54 and 7,145.88 is: 9,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735 : 17,574.54 = 7,145.88 : x
  2. Step 2: Convert to fraction form
    12,735/17,574.54 = 7,145.88/x
  3. Step 3: Cross multiply
    12,735x = 17,574.54 × 7,145.88
  4. Step 4: Simplify right side
    12,735x = 125,585,553.90
  5. Step 5: Solve for x
    x = 125,585,553.90/12,735
  6. Step 6: Final answer
    x = 9,861.45

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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.