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Finding the Fourth Proportional to 9,858.70, 14,780.76 and 4,658.50

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Solution

The fourth proportional to 9,858.70, 14,780.76 and 4,658.50 is: 6,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.70 : 14,780.76 = 4,658.50 : x
  2. Step 2: Convert to fraction form
    9,858.70/14,780.76 = 4,658.50/x
  3. Step 3: Cross multiply
    9,858.70x = 14,780.76 × 4,658.50
  4. Step 4: Simplify right side
    9,858.70x = 68,856,170.46
  5. Step 5: Solve for x
    x = 68,856,170.46/9,858.70
  6. Step 6: Final answer
    x = 6,984.31

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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.