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Finding the Fourth Proportional to 34,438.12, 51,656.94 and 9,814.12

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Solution

The fourth proportional to 34,438.12, 51,656.94 and 9,814.12 is: 14,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,438.12 : 51,656.94 = 9,814.12 : x
  2. Step 2: Convert to fraction form
    34,438.12/51,656.94 = 9,814.12/x
  3. Step 3: Cross multiply
    34,438.12x = 51,656.94 × 9,814.12
  4. Step 4: Simplify right side
    34,438.12x = 506,967,407.99
  5. Step 5: Solve for x
    x = 506,967,407.99/34,438.12
  6. Step 6: Final answer
    x = 14,721.11

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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.