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Finding the Fourth Proportional to 9,762.66, 14,643.85 and 2,367.18

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Solution

The fourth proportional to 9,762.66, 14,643.85 and 2,367.18 is: 3,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.66 : 14,643.85 = 2,367.18 : x
  2. Step 2: Convert to fraction form
    9,762.66/14,643.85 = 2,367.18/x
  3. Step 3: Cross multiply
    9,762.66x = 14,643.85 × 2,367.18
  4. Step 4: Simplify right side
    9,762.66x = 34,664,543.79
  5. Step 5: Solve for x
    x = 34,664,543.79/9,762.66
  6. Step 6: Final answer
    x = 3,550.73

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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.