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Finding the Fourth Proportional to 7,732.60, 11,598.84 and 2,802.20

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Solution

The fourth proportional to 7,732.60, 11,598.84 and 2,802.20 is: 4,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.60 : 11,598.84 = 2,802.20 : x
  2. Step 2: Convert to fraction form
    7,732.60/11,598.84 = 2,802.20/x
  3. Step 3: Cross multiply
    7,732.60x = 11,598.84 × 2,802.20
  4. Step 4: Simplify right side
    7,732.60x = 32,502,269.45
  5. Step 5: Solve for x
    x = 32,502,269.45/7,732.60
  6. Step 6: Final answer
    x = 4,203.28

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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.