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Finding the Fourth Proportional to 10,428, 14,390.64 and 6,012

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Solution

The fourth proportional to 10,428, 14,390.64 and 6,012 is: 8,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428 : 14,390.64 = 6,012 : x
  2. Step 2: Convert to fraction form
    10,428/14,390.64 = 6,012/x
  3. Step 3: Cross multiply
    10,428x = 14,390.64 × 6,012
  4. Step 4: Simplify right side
    10,428x = 86,516,527.68
  5. Step 5: Solve for x
    x = 86,516,527.68/10,428
  6. Step 6: Final answer
    x = 8,296.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.