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Finding the Fourth Proportional to 35,298.54, 52,947.45 and 9,003

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Solution

The fourth proportional to 35,298.54, 52,947.45 and 9,003 is: 13,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,298.54 : 52,947.45 = 9,003 : x
  2. Step 2: Convert to fraction form
    35,298.54/52,947.45 = 9,003/x
  3. Step 3: Cross multiply
    35,298.54x = 52,947.45 × 9,003
  4. Step 4: Simplify right side
    35,298.54x = 476,685,892.35
  5. Step 5: Solve for x
    x = 476,685,892.35/35,298.54
  6. Step 6: Final answer
    x = 13,504.41

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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.