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Finding the Fourth Proportional to 10,830.60, 14,922.90 and 10,830.60

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Solution

The fourth proportional to 10,830.60, 14,922.90 and 10,830.60 is: 14,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.60 : 14,922.90 = 10,830.60 : x
  2. Step 2: Convert to fraction form
    10,830.60/14,922.90 = 10,830.60/x
  3. Step 3: Cross multiply
    10,830.60x = 14,922.90 × 10,830.60
  4. Step 4: Simplify right side
    10,830.60x = 161,623,960.74
  5. Step 5: Solve for x
    x = 161,623,960.74/10,830.60
  6. Step 6: Final answer
    x = 14,922.90

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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.