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Finding the Fourth Proportional to 9,203.40, 13,805.55 and 4,829.40

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Solution

The fourth proportional to 9,203.40, 13,805.55 and 4,829.40 is: 7,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.40 : 13,805.55 = 4,829.40 : x
  2. Step 2: Convert to fraction form
    9,203.40/13,805.55 = 4,829.40/x
  3. Step 3: Cross multiply
    9,203.40x = 13,805.55 × 4,829.40
  4. Step 4: Simplify right side
    9,203.40x = 66,672,523.17
  5. Step 5: Solve for x
    x = 66,672,523.17/9,203.40
  6. Step 6: Final answer
    x = 7,244.34

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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.