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Finding the Fourth Proportional to 14,684.94, 22,015.76 and 7,287.42

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Solution

The fourth proportional to 14,684.94, 22,015.76 and 7,287.42 is: 10,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.94 : 22,015.76 = 7,287.42 : x
  2. Step 2: Convert to fraction form
    14,684.94/22,015.76 = 7,287.42/x
  3. Step 3: Cross multiply
    14,684.94x = 22,015.76 × 7,287.42
  4. Step 4: Simplify right side
    14,684.94x = 160,438,089.74
  5. Step 5: Solve for x
    x = 160,438,089.74/14,684.94
  6. Step 6: Final answer
    x = 10,925.35

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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.