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Finding the Fourth Proportional to 15,224.36, 22,848.08 and 6,465.42

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Solution

The fourth proportional to 15,224.36, 22,848.08 and 6,465.42 is: 9,703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224.36 : 22,848.08 = 6,465.42 : x
  2. Step 2: Convert to fraction form
    15,224.36/22,848.08 = 6,465.42/x
  3. Step 3: Cross multiply
    15,224.36x = 22,848.08 × 6,465.42
  4. Step 4: Simplify right side
    15,224.36x = 147,722,401.07
  5. Step 5: Solve for x
    x = 147,722,401.07/15,224.36
  6. Step 6: Final answer
    x = 9,703.03

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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.