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Finding the Fourth Proportional to 14,381.96, 21,541.73 and 6,970.86

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Solution

The fourth proportional to 14,381.96, 21,541.73 and 6,970.86 is: 10,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.96 : 21,541.73 = 6,970.86 : x
  2. Step 2: Convert to fraction form
    14,381.96/21,541.73 = 6,970.86/x
  3. Step 3: Cross multiply
    14,381.96x = 21,541.73 × 6,970.86
  4. Step 4: Simplify right side
    14,381.96x = 150,164,349.13
  5. Step 5: Solve for x
    x = 150,164,349.13/14,381.96
  6. Step 6: Final answer
    x = 10,441.16

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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.