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Finding the Fourth Proportional to 10,705, 14,782.02 and 6,732.76

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Solution

The fourth proportional to 10,705, 14,782.02 and 6,732.76 is: 9,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705 : 14,782.02 = 6,732.76 : x
  2. Step 2: Convert to fraction form
    10,705/14,782.02 = 6,732.76/x
  3. Step 3: Cross multiply
    10,705x = 14,782.02 × 6,732.76
  4. Step 4: Simplify right side
    10,705x = 99,523,792.98
  5. Step 5: Solve for x
    x = 99,523,792.98/10,705
  6. Step 6: Final answer
    x = 9,296.94

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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.