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Finding the Fourth Proportional to 10,223.60, 14,342.20 and 10,223.60

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Solution

The fourth proportional to 10,223.60, 14,342.20 and 10,223.60 is: 14,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.60 : 14,342.20 = 10,223.60 : x
  2. Step 2: Convert to fraction form
    10,223.60/14,342.20 = 10,223.60/x
  3. Step 3: Cross multiply
    10,223.60x = 14,342.20 × 10,223.60
  4. Step 4: Simplify right side
    10,223.60x = 146,628,915.92
  5. Step 5: Solve for x
    x = 146,628,915.92/10,223.60
  6. Step 6: Final answer
    x = 14,342.20

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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.