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Finding the Fourth Proportional to 11,622.22, 16,038 and 6,317.01

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Solution

The fourth proportional to 11,622.22, 16,038 and 6,317.01 is: 8,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.22 : 16,038 = 6,317.01 : x
  2. Step 2: Convert to fraction form
    11,622.22/16,038 = 6,317.01/x
  3. Step 3: Cross multiply
    11,622.22x = 16,038 × 6,317.01
  4. Step 4: Simplify right side
    11,622.22x = 101,312,206.38
  5. Step 5: Solve for x
    x = 101,312,206.38/11,622.22
  6. Step 6: Final answer
    x = 8,717.11

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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.