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Finding the Fourth Proportional to 9,575.08, 13,220.16 and 7,333

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Solution

The fourth proportional to 9,575.08, 13,220.16 and 7,333 is: 10,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.08 : 13,220.16 = 7,333 : x
  2. Step 2: Convert to fraction form
    9,575.08/13,220.16 = 7,333/x
  3. Step 3: Cross multiply
    9,575.08x = 13,220.16 × 7,333
  4. Step 4: Simplify right side
    9,575.08x = 96,943,433.28
  5. Step 5: Solve for x
    x = 96,943,433.28/9,575.08
  6. Step 6: Final answer
    x = 10,124.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.