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Finding the Fourth Proportional to 9,802.62, 13,522.14 and 6,023.16

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Solution

The fourth proportional to 9,802.62, 13,522.14 and 6,023.16 is: 8,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.62 : 13,522.14 = 6,023.16 : x
  2. Step 2: Convert to fraction form
    9,802.62/13,522.14 = 6,023.16/x
  3. Step 3: Cross multiply
    9,802.62x = 13,522.14 × 6,023.16
  4. Step 4: Simplify right side
    9,802.62x = 81,446,012.76
  5. Step 5: Solve for x
    x = 81,446,012.76/9,802.62
  6. Step 6: Final answer
    x = 8,308.60

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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.