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Finding the Fourth Proportional to 9,259.90, 13,873.68 and 7,709.87

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Solution

The fourth proportional to 9,259.90, 13,873.68 and 7,709.87 is: 11,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.90 : 13,873.68 = 7,709.87 : x
  2. Step 2: Convert to fraction form
    9,259.90/13,873.68 = 7,709.87/x
  3. Step 3: Cross multiply
    9,259.90x = 13,873.68 × 7,709.87
  4. Step 4: Simplify right side
    9,259.90x = 106,964,303.91
  5. Step 5: Solve for x
    x = 106,964,303.91/9,259.90
  6. Step 6: Final answer
    x = 11,551.35

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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.