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Finding the Fourth Proportional to 15,646.16, 23,469.12 and 10,415.12

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Solution

The fourth proportional to 15,646.16, 23,469.12 and 10,415.12 is: 15,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.16 : 23,469.12 = 10,415.12 : x
  2. Step 2: Convert to fraction form
    15,646.16/23,469.12 = 10,415.12/x
  3. Step 3: Cross multiply
    15,646.16x = 23,469.12 × 10,415.12
  4. Step 4: Simplify right side
    15,646.16x = 244,433,701.09
  5. Step 5: Solve for x
    x = 244,433,701.09/15,646.16
  6. Step 6: Final answer
    x = 15,622.60

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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.