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Finding the Fourth Proportional to 9,136.81, 13,697.12 and 4,454.20

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Solution

The fourth proportional to 9,136.81, 13,697.12 and 4,454.20 is: 6,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.81 : 13,697.12 = 4,454.20 : x
  2. Step 2: Convert to fraction form
    9,136.81/13,697.12 = 4,454.20/x
  3. Step 3: Cross multiply
    9,136.81x = 13,697.12 × 4,454.20
  4. Step 4: Simplify right side
    9,136.81x = 61,009,689.63
  5. Step 5: Solve for x
    x = 61,009,689.63/9,136.81
  6. Step 6: Final answer
    x = 6,677.35

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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.