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Finding the Fourth Proportional to 24,384.79, 36,573.45 and 7,742.67

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Solution

The fourth proportional to 24,384.79, 36,573.45 and 7,742.67 is: 11,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.79 : 36,573.45 = 7,742.67 : x
  2. Step 2: Convert to fraction form
    24,384.79/36,573.45 = 7,742.67/x
  3. Step 3: Cross multiply
    24,384.79x = 36,573.45 × 7,742.67
  4. Step 4: Simplify right side
    24,384.79x = 283,176,154.11
  5. Step 5: Solve for x
    x = 283,176,154.11/24,384.79
  6. Step 6: Final answer
    x = 11,612.82

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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.