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Finding the Fourth Proportional to 37,386, 56,082.24 and 9,684

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Solution

The fourth proportional to 37,386, 56,082.24 and 9,684 is: 14,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,386 : 56,082.24 = 9,684 : x
  2. Step 2: Convert to fraction form
    37,386/56,082.24 = 9,684/x
  3. Step 3: Cross multiply
    37,386x = 56,082.24 × 9,684
  4. Step 4: Simplify right side
    37,386x = 543,100,412.16
  5. Step 5: Solve for x
    x = 543,100,412.16/37,386
  6. Step 6: Final answer
    x = 14,526.84

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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.