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Finding the Fourth Proportional to 10,349.91, 15,532.68 and 7,583.67

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Solution

The fourth proportional to 10,349.91, 15,532.68 and 7,583.67 is: 11,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.91 : 15,532.68 = 7,583.67 : x
  2. Step 2: Convert to fraction form
    10,349.91/15,532.68 = 7,583.67/x
  3. Step 3: Cross multiply
    10,349.91x = 15,532.68 × 7,583.67
  4. Step 4: Simplify right side
    10,349.91x = 117,794,719.34
  5. Step 5: Solve for x
    x = 117,794,719.34/10,349.91
  6. Step 6: Final answer
    x = 11,381.23

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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.