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Finding the Fourth Proportional to 35,497.92, 53,246.82 and 9,202.68

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Solution

The fourth proportional to 35,497.92, 53,246.82 and 9,202.68 is: 13,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497.92 : 53,246.82 = 9,202.68 : x
  2. Step 2: Convert to fraction form
    35,497.92/53,246.82 = 9,202.68/x
  3. Step 3: Cross multiply
    35,497.92x = 53,246.82 × 9,202.68
  4. Step 4: Simplify right side
    35,497.92x = 490,013,445.48
  5. Step 5: Solve for x
    x = 490,013,445.48/35,497.92
  6. Step 6: Final answer
    x = 13,804.00

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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.