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Finding the Fourth Proportional to 9,684.44, 14,507.40 and 7,594.64

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Solution

The fourth proportional to 9,684.44, 14,507.40 and 7,594.64 is: 11,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.44 : 14,507.40 = 7,594.64 : x
  2. Step 2: Convert to fraction form
    9,684.44/14,507.40 = 7,594.64/x
  3. Step 3: Cross multiply
    9,684.44x = 14,507.40 × 7,594.64
  4. Step 4: Simplify right side
    9,684.44x = 110,178,480.34
  5. Step 5: Solve for x
    x = 110,178,480.34/9,684.44
  6. Step 6: Final answer
    x = 11,376.86

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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.