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Finding the Fourth Proportional to 7,850.60, 10,830.48 and 4,864.40

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Solution

The fourth proportional to 7,850.60, 10,830.48 and 4,864.40 is: 6,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.60 : 10,830.48 = 4,864.40 : x
  2. Step 2: Convert to fraction form
    7,850.60/10,830.48 = 4,864.40/x
  3. Step 3: Cross multiply
    7,850.60x = 10,830.48 × 4,864.40
  4. Step 4: Simplify right side
    7,850.60x = 52,683,786.91
  5. Step 5: Solve for x
    x = 52,683,786.91/7,850.60
  6. Step 6: Final answer
    x = 6,710.80

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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.