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Finding the Fourth Proportional to 9,405.90, 14,097.90 and 7,559.10

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Solution

The fourth proportional to 9,405.90, 14,097.90 and 7,559.10 is: 11,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.90 : 14,097.90 = 7,559.10 : x
  2. Step 2: Convert to fraction form
    9,405.90/14,097.90 = 7,559.10/x
  3. Step 3: Cross multiply
    9,405.90x = 14,097.90 × 7,559.10
  4. Step 4: Simplify right side
    9,405.90x = 106,567,435.89
  5. Step 5: Solve for x
    x = 106,567,435.89/9,405.90
  6. Step 6: Final answer
    x = 11,329.85

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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.