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Finding the Fourth Proportional to 4,641.63, 6,962.85 and 1,178.88

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Solution

The fourth proportional to 4,641.63, 6,962.85 and 1,178.88 is: 1,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.63 : 6,962.85 = 1,178.88 : x
  2. Step 2: Convert to fraction form
    4,641.63/6,962.85 = 1,178.88/x
  3. Step 3: Cross multiply
    4,641.63x = 6,962.85 × 1,178.88
  4. Step 4: Simplify right side
    4,641.63x = 8,208,364.61
  5. Step 5: Solve for x
    x = 8,208,364.61/4,641.63
  6. Step 6: Final answer
    x = 1,768.42

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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.