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Finding the Fourth Proportional to 4,658.80, 6,988.28 and 1,196.08

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Solution

The fourth proportional to 4,658.80, 6,988.28 and 1,196.08 is: 1,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.80 : 6,988.28 = 1,196.08 : x
  2. Step 2: Convert to fraction form
    4,658.80/6,988.28 = 1,196.08/x
  3. Step 3: Cross multiply
    4,658.80x = 6,988.28 × 1,196.08
  4. Step 4: Simplify right side
    4,658.80x = 8,358,541.94
  5. Step 5: Solve for x
    x = 8,358,541.94/4,658.80
  6. Step 6: Final answer
    x = 1,794.14

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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.