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Finding the Fourth Proportional to 10,223.40, 14,332.20 and 10,223.40

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Solution

The fourth proportional to 10,223.40, 14,332.20 and 10,223.40 is: 14,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.40 : 14,332.20 = 10,223.40 : x
  2. Step 2: Convert to fraction form
    10,223.40/14,332.20 = 10,223.40/x
  3. Step 3: Cross multiply
    10,223.40x = 14,332.20 × 10,223.40
  4. Step 4: Simplify right side
    10,223.40x = 146,523,813.48
  5. Step 5: Solve for x
    x = 146,523,813.48/10,223.40
  6. Step 6: Final answer
    x = 14,332.20

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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.