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Finding the Fourth Proportional to 12,386.16, 18,573.90 and 7,699.14

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Solution

The fourth proportional to 12,386.16, 18,573.90 and 7,699.14 is: 11,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.16 : 18,573.90 = 7,699.14 : x
  2. Step 2: Convert to fraction form
    12,386.16/18,573.90 = 7,699.14/x
  3. Step 3: Cross multiply
    12,386.16x = 18,573.90 × 7,699.14
  4. Step 4: Simplify right side
    12,386.16x = 143,003,056.45
  5. Step 5: Solve for x
    x = 143,003,056.45/12,386.16
  6. Step 6: Final answer
    x = 11,545.39

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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.