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Finding the Fourth Proportional to 9,722.94, 14,567.67 and 7,656.18

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Solution

The fourth proportional to 9,722.94, 14,567.67 and 7,656.18 is: 11,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.94 : 14,567.67 = 7,656.18 : x
  2. Step 2: Convert to fraction form
    9,722.94/14,567.67 = 7,656.18/x
  3. Step 3: Cross multiply
    9,722.94x = 14,567.67 × 7,656.18
  4. Step 4: Simplify right side
    9,722.94x = 111,532,703.70
  5. Step 5: Solve for x
    x = 111,532,703.70/9,722.94
  6. Step 6: Final answer
    x = 11,471.09

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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.