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Finding the Fourth Proportional to 10,985.70, 16,478.55 and 6,830.40

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Solution

The fourth proportional to 10,985.70, 16,478.55 and 6,830.40 is: 10,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.70 : 16,478.55 = 6,830.40 : x
  2. Step 2: Convert to fraction form
    10,985.70/16,478.55 = 6,830.40/x
  3. Step 3: Cross multiply
    10,985.70x = 16,478.55 × 6,830.40
  4. Step 4: Simplify right side
    10,985.70x = 112,555,087.92
  5. Step 5: Solve for x
    x = 112,555,087.92/10,985.70
  6. Step 6: Final answer
    x = 10,245.60

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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.