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Finding the Fourth Proportional to 9,806.87, 14,745.86 and 9,036.40

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Solution

The fourth proportional to 9,806.87, 14,745.86 and 9,036.40 is: 13,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.87 : 14,745.86 = 9,036.40 : x
  2. Step 2: Convert to fraction form
    9,806.87/14,745.86 = 9,036.40/x
  3. Step 3: Cross multiply
    9,806.87x = 14,745.86 × 9,036.40
  4. Step 4: Simplify right side
    9,806.87x = 133,249,489.30
  5. Step 5: Solve for x
    x = 133,249,489.30/9,806.87
  6. Step 6: Final answer
    x = 13,587.36

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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.