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Finding the Fourth Proportional to 10,525.84, 14,528.96 and 6,280

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Solution

The fourth proportional to 10,525.84, 14,528.96 and 6,280 is: 8,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.84 : 14,528.96 = 6,280 : x
  2. Step 2: Convert to fraction form
    10,525.84/14,528.96 = 6,280/x
  3. Step 3: Cross multiply
    10,525.84x = 14,528.96 × 6,280
  4. Step 4: Simplify right side
    10,525.84x = 91,241,868.80
  5. Step 5: Solve for x
    x = 91,241,868.80/10,525.84
  6. Step 6: Final answer
    x = 8,668.37

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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.