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Finding the Fourth Proportional to 15,888, 21,925.50 and 8,815.44

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Solution

The fourth proportional to 15,888, 21,925.50 and 8,815.44 is: 12,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888 : 21,925.50 = 8,815.44 : x
  2. Step 2: Convert to fraction form
    15,888/21,925.50 = 8,815.44/x
  3. Step 3: Cross multiply
    15,888x = 21,925.50 × 8,815.44
  4. Step 4: Simplify right side
    15,888x = 193,282,929.72
  5. Step 5: Solve for x
    x = 193,282,929.72/15,888
  6. Step 6: Final answer
    x = 12,165.34

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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.