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Finding the Fourth Proportional to 15,664.16, 21,616.47 and 8,590.58

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Solution

The fourth proportional to 15,664.16, 21,616.47 and 8,590.58 is: 11,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664.16 : 21,616.47 = 8,590.58 : x
  2. Step 2: Convert to fraction form
    15,664.16/21,616.47 = 8,590.58/x
  3. Step 3: Cross multiply
    15,664.16x = 21,616.47 × 8,590.58
  4. Step 4: Simplify right side
    15,664.16x = 185,698,014.85
  5. Step 5: Solve for x
    x = 185,698,014.85/15,664.16
  6. Step 6: Final answer
    x = 11,854.96

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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.