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Finding the Fourth Proportional to 10,530.49, 14,527.49 and 6,940.85

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Solution

The fourth proportional to 10,530.49, 14,527.49 and 6,940.85 is: 9,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.49 : 14,527.49 = 6,940.85 : x
  2. Step 2: Convert to fraction form
    10,530.49/14,527.49 = 6,940.85/x
  3. Step 3: Cross multiply
    10,530.49x = 14,527.49 × 6,940.85
  4. Step 4: Simplify right side
    10,530.49x = 100,833,107.09
  5. Step 5: Solve for x
    x = 100,833,107.09/10,530.49
  6. Step 6: Final answer
    x = 9,575.35

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1.5x scale

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.