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Finding the Fourth Proportional to 9,666.10, 14,499.15 and 7,722.10

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Solution

The fourth proportional to 9,666.10, 14,499.15 and 7,722.10 is: 11,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.10 : 14,499.15 = 7,722.10 : x
  2. Step 2: Convert to fraction form
    9,666.10/14,499.15 = 7,722.10/x
  3. Step 3: Cross multiply
    9,666.10x = 14,499.15 × 7,722.10
  4. Step 4: Simplify right side
    9,666.10x = 111,963,886.22
  5. Step 5: Solve for x
    x = 111,963,886.22/9,666.10
  6. Step 6: Final answer
    x = 11,583.15

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Similar ratio
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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.