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Finding the Fourth Proportional to 9,602.30, 14,404.17 and 2,582.30

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Solution

The fourth proportional to 9,602.30, 14,404.17 and 2,582.30 is: 3,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.30 : 14,404.17 = 2,582.30 : x
  2. Step 2: Convert to fraction form
    9,602.30/14,404.17 = 2,582.30/x
  3. Step 3: Cross multiply
    9,602.30x = 14,404.17 × 2,582.30
  4. Step 4: Simplify right side
    9,602.30x = 37,195,888.19
  5. Step 5: Solve for x
    x = 37,195,888.19/9,602.30
  6. Step 6: Final answer
    x = 3,873.64

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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.