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Finding the Fourth Proportional to 9,201.70, 13,802.55 and 5,302.90

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Solution

The fourth proportional to 9,201.70, 13,802.55 and 5,302.90 is: 7,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.70 : 13,802.55 = 5,302.90 : x
  2. Step 2: Convert to fraction form
    9,201.70/13,802.55 = 5,302.90/x
  3. Step 3: Cross multiply
    9,201.70x = 13,802.55 × 5,302.90
  4. Step 4: Simplify right side
    9,201.70x = 73,193,542.40
  5. Step 5: Solve for x
    x = 73,193,542.40/9,201.70
  6. Step 6: Final answer
    x = 7,954.35

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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.