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Finding the Fourth Proportional to 11,453.84, 15,806.35 and 7,472.60

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Solution

The fourth proportional to 11,453.84, 15,806.35 and 7,472.60 is: 10,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.84 : 15,806.35 = 7,472.60 : x
  2. Step 2: Convert to fraction form
    11,453.84/15,806.35 = 7,472.60/x
  3. Step 3: Cross multiply
    11,453.84x = 15,806.35 × 7,472.60
  4. Step 4: Simplify right side
    11,453.84x = 118,114,433.30
  5. Step 5: Solve for x
    x = 118,114,433.30/11,453.84
  6. Step 6: Final answer
    x = 10,312.22

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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.