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Finding the Fourth Proportional to 10,627.84, 14,666.68 and 6,152

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Solution

The fourth proportional to 10,627.84, 14,666.68 and 6,152 is: 8,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.84 : 14,666.68 = 6,152 : x
  2. Step 2: Convert to fraction form
    10,627.84/14,666.68 = 6,152/x
  3. Step 3: Cross multiply
    10,627.84x = 14,666.68 × 6,152
  4. Step 4: Simplify right side
    10,627.84x = 90,229,415.36
  5. Step 5: Solve for x
    x = 90,229,415.36/10,627.84
  6. Step 6: Final answer
    x = 8,489.91

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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.