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Finding the Fourth Proportional to 11,710.79, 16,156.35 and 7,461.09

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Solution

The fourth proportional to 11,710.79, 16,156.35 and 7,461.09 is: 10,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.79 : 16,156.35 = 7,461.09 : x
  2. Step 2: Convert to fraction form
    11,710.79/16,156.35 = 7,461.09/x
  3. Step 3: Cross multiply
    11,710.79x = 16,156.35 × 7,461.09
  4. Step 4: Simplify right side
    11,710.79x = 120,543,915.00
  5. Step 5: Solve for x
    x = 120,543,915.00/11,710.79
  6. Step 6: Final answer
    x = 10,293.41

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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.