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Finding the Fourth Proportional to 9,507.87, 14,255.73 and 4,567.68

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Solution

The fourth proportional to 9,507.87, 14,255.73 and 4,567.68 is: 6,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.87 : 14,255.73 = 4,567.68 : x
  2. Step 2: Convert to fraction form
    9,507.87/14,255.73 = 4,567.68/x
  3. Step 3: Cross multiply
    9,507.87x = 14,255.73 × 4,567.68
  4. Step 4: Simplify right side
    9,507.87x = 65,115,612.81
  5. Step 5: Solve for x
    x = 65,115,612.81/9,507.87
  6. Step 6: Final answer
    x = 6,848.60

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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.