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Finding the Fourth Proportional to 65,006.25, 97,509.39 and 15,758.25

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Solution

The fourth proportional to 65,006.25, 97,509.39 and 15,758.25 is: 23,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,006.25 : 97,509.39 = 15,758.25 : x
  2. Step 2: Convert to fraction form
    65,006.25/97,509.39 = 15,758.25/x
  3. Step 3: Cross multiply
    65,006.25x = 97,509.39 × 15,758.25
  4. Step 4: Simplify right side
    65,006.25x = 1,536,577,344.97
  5. Step 5: Solve for x
    x = 1,536,577,344.97/65,006.25
  6. Step 6: Final answer
    x = 23,637.38

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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.