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Finding the Fourth Proportional to 9,410.03, 12,986.02 and 5,633.36

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Solution

The fourth proportional to 9,410.03, 12,986.02 and 5,633.36 is: 7,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.03 : 12,986.02 = 5,633.36 : x
  2. Step 2: Convert to fraction form
    9,410.03/12,986.02 = 5,633.36/x
  3. Step 3: Cross multiply
    9,410.03x = 12,986.02 × 5,633.36
  4. Step 4: Simplify right side
    9,410.03x = 73,154,916.44
  5. Step 5: Solve for x
    x = 73,154,916.44/9,410.03
  6. Step 6: Final answer
    x = 7,774.14

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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.