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Finding the Fourth Proportional to 34,624.18, 51,945 and 9,664.20

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Solution

The fourth proportional to 34,624.18, 51,945 and 9,664.20 is: 14,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,624.18 : 51,945 = 9,664.20 : x
  2. Step 2: Convert to fraction form
    34,624.18/51,945 = 9,664.20/x
  3. Step 3: Cross multiply
    34,624.18x = 51,945 × 9,664.20
  4. Step 4: Simplify right side
    34,624.18x = 502,006,869.00
  5. Step 5: Solve for x
    x = 502,006,869.00/34,624.18
  6. Step 6: Final answer
    x = 14,498.74

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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.