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Finding the Fourth Proportional to 34,610.34, 51,915.51 and 9,649.38

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Solution

The fourth proportional to 34,610.34, 51,915.51 and 9,649.38 is: 14,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,610.34 : 51,915.51 = 9,649.38 : x
  2. Step 2: Convert to fraction form
    34,610.34/51,915.51 = 9,649.38/x
  3. Step 3: Cross multiply
    34,610.34x = 51,915.51 × 9,649.38
  4. Step 4: Simplify right side
    34,610.34x = 500,952,483.88
  5. Step 5: Solve for x
    x = 500,952,483.88/34,610.34
  6. Step 6: Final answer
    x = 14,474.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.