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Finding the Fourth Proportional to 9,582.62, 13,223.63 and 5,333.56

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Solution

The fourth proportional to 9,582.62, 13,223.63 and 5,333.56 is: 7,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.62 : 13,223.63 = 5,333.56 : x
  2. Step 2: Convert to fraction form
    9,582.62/13,223.63 = 5,333.56/x
  3. Step 3: Cross multiply
    9,582.62x = 13,223.63 × 5,333.56
  4. Step 4: Simplify right side
    9,582.62x = 70,529,024.02
  5. Step 5: Solve for x
    x = 70,529,024.02/9,582.62
  6. Step 6: Final answer
    x = 7,360.10

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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.