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Finding the Fourth Proportional to 24,583.76, 36,875.78 and 6,115.76

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Solution

The fourth proportional to 24,583.76, 36,875.78 and 6,115.76 is: 9,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,583.76 : 36,875.78 = 6,115.76 : x
  2. Step 2: Convert to fraction form
    24,583.76/36,875.78 = 6,115.76/x
  3. Step 3: Cross multiply
    24,583.76x = 36,875.78 × 6,115.76
  4. Step 4: Simplify right side
    24,583.76x = 225,523,420.29
  5. Step 5: Solve for x
    x = 225,523,420.29/24,583.76
  6. Step 6: Final answer
    x = 9,173.67

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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.