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Finding the Fourth Proportional to 10,590.66, 15,883.74 and 4,014.54

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Solution

The fourth proportional to 10,590.66, 15,883.74 and 4,014.54 is: 6,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.66 : 15,883.74 = 4,014.54 : x
  2. Step 2: Convert to fraction form
    10,590.66/15,883.74 = 4,014.54/x
  3. Step 3: Cross multiply
    10,590.66x = 15,883.74 × 4,014.54
  4. Step 4: Simplify right side
    10,590.66x = 63,765,909.58
  5. Step 5: Solve for x
    x = 63,765,909.58/10,590.66
  6. Step 6: Final answer
    x = 6,020.96

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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.