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Finding the Fourth Proportional to 10,830.80, 14,633.10 and 10,830.80

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Solution

The fourth proportional to 10,830.80, 14,633.10 and 10,830.80 is: 14,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.80 : 14,633.10 = 10,830.80 : x
  2. Step 2: Convert to fraction form
    10,830.80/14,633.10 = 10,830.80/x
  3. Step 3: Cross multiply
    10,830.80x = 14,633.10 × 10,830.80
  4. Step 4: Simplify right side
    10,830.80x = 158,488,179.48
  5. Step 5: Solve for x
    x = 158,488,179.48/10,830.80
  6. Step 6: Final answer
    x = 14,633.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.