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Finding the Fourth Proportional to 35,509.78, 53,264.67 and 9,212.32

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Solution

The fourth proportional to 35,509.78, 53,264.67 and 9,212.32 is: 13,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,509.78 : 53,264.67 = 9,212.32 : x
  2. Step 2: Convert to fraction form
    35,509.78/53,264.67 = 9,212.32/x
  3. Step 3: Cross multiply
    35,509.78x = 53,264.67 × 9,212.32
  4. Step 4: Simplify right side
    35,509.78x = 490,691,184.73
  5. Step 5: Solve for x
    x = 490,691,184.73/35,509.78
  6. Step 6: Final answer
    x = 13,818.48

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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.