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Finding the Fourth Proportional to 4,343.66, 6,516.66 and 1,569.50

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Solution

The fourth proportional to 4,343.66, 6,516.66 and 1,569.50 is: 2,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.66 : 6,516.66 = 1,569.50 : x
  2. Step 2: Convert to fraction form
    4,343.66/6,516.66 = 1,569.50/x
  3. Step 3: Cross multiply
    4,343.66x = 6,516.66 × 1,569.50
  4. Step 4: Simplify right side
    4,343.66x = 10,227,897.87
  5. Step 5: Solve for x
    x = 10,227,897.87/4,343.66
  6. Step 6: Final answer
    x = 2,354.67

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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.