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Finding the Fourth Proportional to 9,722.64, 14,555.28 and 6,594.48

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Solution

The fourth proportional to 9,722.64, 14,555.28 and 6,594.48 is: 9,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.64 : 14,555.28 = 6,594.48 : x
  2. Step 2: Convert to fraction form
    9,722.64/14,555.28 = 6,594.48/x
  3. Step 3: Cross multiply
    9,722.64x = 14,555.28 × 6,594.48
  4. Step 4: Simplify right side
    9,722.64x = 95,984,502.85
  5. Step 5: Solve for x
    x = 95,984,502.85/9,722.64
  6. Step 6: Final answer
    x = 9,872.27

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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.