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Finding the Fourth Proportional to 14,783.84, 22,178.64 and 4,923.44

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Solution

The fourth proportional to 14,783.84, 22,178.64 and 4,923.44 is: 7,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.84 : 22,178.64 = 4,923.44 : x
  2. Step 2: Convert to fraction form
    14,783.84/22,178.64 = 4,923.44/x
  3. Step 3: Cross multiply
    14,783.84x = 22,178.64 × 4,923.44
  4. Step 4: Simplify right side
    14,783.84x = 109,195,203.32
  5. Step 5: Solve for x
    x = 109,195,203.32/14,783.84
  6. Step 6: Final answer
    x = 7,386.12

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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.