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Finding the Fourth Proportional to 9,582.60, 13,224.09 and 5,602.94

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Solution

The fourth proportional to 9,582.60, 13,224.09 and 5,602.94 is: 7,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.60 : 13,224.09 = 5,602.94 : x
  2. Step 2: Convert to fraction form
    9,582.60/13,224.09 = 5,602.94/x
  3. Step 3: Cross multiply
    9,582.60x = 13,224.09 × 5,602.94
  4. Step 4: Simplify right side
    9,582.60x = 74,093,782.82
  5. Step 5: Solve for x
    x = 74,093,782.82/9,582.60
  6. Step 6: Final answer
    x = 7,732.12

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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.