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Finding the Fourth Proportional to 7,178.52, 9,913.86 and 4,946.16

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Solution

The fourth proportional to 7,178.52, 9,913.86 and 4,946.16 is: 6,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.52 : 9,913.86 = 4,946.16 : x
  2. Step 2: Convert to fraction form
    7,178.52/9,913.86 = 4,946.16/x
  3. Step 3: Cross multiply
    7,178.52x = 9,913.86 × 4,946.16
  4. Step 4: Simplify right side
    7,178.52x = 49,035,537.78
  5. Step 5: Solve for x
    x = 49,035,537.78/7,178.52
  6. Step 6: Final answer
    x = 6,830.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.