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Finding the Fourth Proportional to 15,582.88, 21,504.52 and 8,509.45

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Solution

The fourth proportional to 15,582.88, 21,504.52 and 8,509.45 is: 11,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.88 : 21,504.52 = 8,509.45 : x
  2. Step 2: Convert to fraction form
    15,582.88/21,504.52 = 8,509.45/x
  3. Step 3: Cross multiply
    15,582.88x = 21,504.52 × 8,509.45
  4. Step 4: Simplify right side
    15,582.88x = 182,991,637.71
  5. Step 5: Solve for x
    x = 182,991,637.71/15,582.88
  6. Step 6: Final answer
    x = 11,743.12

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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.