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Finding the Fourth Proportional to 12,051.60, 18,093.60 and 7,688.40

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Solution

The fourth proportional to 12,051.60, 18,093.60 and 7,688.40 is: 11,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.60 : 18,093.60 = 7,688.40 : x
  2. Step 2: Convert to fraction form
    12,051.60/18,093.60 = 7,688.40/x
  3. Step 3: Cross multiply
    12,051.60x = 18,093.60 × 7,688.40
  4. Step 4: Simplify right side
    12,051.60x = 139,110,834.24
  5. Step 5: Solve for x
    x = 139,110,834.24/12,051.60
  6. Step 6: Final answer
    x = 11,542.93

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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.