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Finding the Fourth Proportional to 10,572.66, 15,850.78 and 6,184.98

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Solution

The fourth proportional to 10,572.66, 15,850.78 and 6,184.98 is: 9,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.66 : 15,850.78 = 6,184.98 : x
  2. Step 2: Convert to fraction form
    10,572.66/15,850.78 = 6,184.98/x
  3. Step 3: Cross multiply
    10,572.66x = 15,850.78 × 6,184.98
  4. Step 4: Simplify right side
    10,572.66x = 98,036,741.82
  5. Step 5: Solve for x
    x = 98,036,741.82/10,572.66
  6. Step 6: Final answer
    x = 9,272.67

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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.