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Finding the Fourth Proportional to 4,658.70, 6,988.05 and 4,140.30

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Solution

The fourth proportional to 4,658.70, 6,988.05 and 4,140.30 is: 6,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.70 : 6,988.05 = 4,140.30 : x
  2. Step 2: Convert to fraction form
    4,658.70/6,988.05 = 4,140.30/x
  3. Step 3: Cross multiply
    4,658.70x = 6,988.05 × 4,140.30
  4. Step 4: Simplify right side
    4,658.70x = 28,932,623.42
  5. Step 5: Solve for x
    x = 28,932,623.42/4,658.70
  6. Step 6: Final answer
    x = 6,210.45

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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.