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Finding the Fourth Proportional to 10,193.56, 14,065.86 and 6,001

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Solution

The fourth proportional to 10,193.56, 14,065.86 and 6,001 is: 8,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.56 : 14,065.86 = 6,001 : x
  2. Step 2: Convert to fraction form
    10,193.56/14,065.86 = 6,001/x
  3. Step 3: Cross multiply
    10,193.56x = 14,065.86 × 6,001
  4. Step 4: Simplify right side
    10,193.56x = 84,409,225.86
  5. Step 5: Solve for x
    x = 84,409,225.86/10,193.56
  6. Step 6: Final answer
    x = 8,280.64

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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.