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Finding the Fourth Proportional to 23,795.82, 35,695.40 and 9,564.30

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Solution

The fourth proportional to 23,795.82, 35,695.40 and 9,564.30 is: 14,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,795.82 : 35,695.40 = 9,564.30 : x
  2. Step 2: Convert to fraction form
    23,795.82/35,695.40 = 9,564.30/x
  3. Step 3: Cross multiply
    23,795.82x = 35,695.40 × 9,564.30
  4. Step 4: Simplify right side
    23,795.82x = 341,401,514.22
  5. Step 5: Solve for x
    x = 341,401,514.22/23,795.82
  6. Step 6: Final answer
    x = 14,347.12

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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.