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Finding the Fourth Proportional to 15,582.85, 21,504.36 and 8,509.12

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Solution

The fourth proportional to 15,582.85, 21,504.36 and 8,509.12 is: 11,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.85 : 21,504.36 = 8,509.12 : x
  2. Step 2: Convert to fraction form
    15,582.85/21,504.36 = 8,509.12/x
  3. Step 3: Cross multiply
    15,582.85x = 21,504.36 × 8,509.12
  4. Step 4: Simplify right side
    15,582.85x = 182,983,179.76
  5. Step 5: Solve for x
    x = 182,983,179.76/15,582.85
  6. Step 6: Final answer
    x = 11,742.60

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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.