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Finding the Fourth Proportional to 14,656.59, 21,986.73 and 4,657.77

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Solution

The fourth proportional to 14,656.59, 21,986.73 and 4,657.77 is: 6,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.59 : 21,986.73 = 4,657.77 : x
  2. Step 2: Convert to fraction form
    14,656.59/21,986.73 = 4,657.77/x
  3. Step 3: Cross multiply
    14,656.59x = 21,986.73 × 4,657.77
  4. Step 4: Simplify right side
    14,656.59x = 102,409,131.39
  5. Step 5: Solve for x
    x = 102,409,131.39/14,656.59
  6. Step 6: Final answer
    x = 6,987.24

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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.