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Finding the Fourth Proportional to 10,605.68, 14,626.07 and 7,207.77

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Solution

The fourth proportional to 10,605.68, 14,626.07 and 7,207.77 is: 9,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.68 : 14,626.07 = 7,207.77 : x
  2. Step 2: Convert to fraction form
    10,605.68/14,626.07 = 7,207.77/x
  3. Step 3: Cross multiply
    10,605.68x = 14,626.07 × 7,207.77
  4. Step 4: Simplify right side
    10,605.68x = 105,421,312.53
  5. Step 5: Solve for x
    x = 105,421,312.53/10,605.68
  6. Step 6: Final answer
    x = 9,940.09

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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.