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Finding the Fourth Proportional to 18,967.96, 26,178.42 and 10,585

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Solution

The fourth proportional to 18,967.96, 26,178.42 and 10,585 is: 14,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,967.96 : 26,178.42 = 10,585 : x
  2. Step 2: Convert to fraction form
    18,967.96/26,178.42 = 10,585/x
  3. Step 3: Cross multiply
    18,967.96x = 26,178.42 × 10,585
  4. Step 4: Simplify right side
    18,967.96x = 277,098,575.70
  5. Step 5: Solve for x
    x = 277,098,575.70/18,967.96
  6. Step 6: Final answer
    x = 14,608.77

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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.