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Finding the Fourth Proportional to 10,400.20, 14,586.20 and 10,400.20

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Solution

The fourth proportional to 10,400.20, 14,586.20 and 10,400.20 is: 14,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.20 : 14,586.20 = 10,400.20 : x
  2. Step 2: Convert to fraction form
    10,400.20/14,586.20 = 10,400.20/x
  3. Step 3: Cross multiply
    10,400.20x = 14,586.20 × 10,400.20
  4. Step 4: Simplify right side
    10,400.20x = 151,699,397.24
  5. Step 5: Solve for x
    x = 151,699,397.24/10,400.20
  6. Step 6: Final answer
    x = 14,586.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.