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Finding the Fourth Proportional to 10,273.35, 14,411.85 and 10,273.35

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Solution

The fourth proportional to 10,273.35, 14,411.85 and 10,273.35 is: 14,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.35 : 14,411.85 = 10,273.35 : x
  2. Step 2: Convert to fraction form
    10,273.35/14,411.85 = 10,273.35/x
  3. Step 3: Cross multiply
    10,273.35x = 14,411.85 × 10,273.35
  4. Step 4: Simplify right side
    10,273.35x = 148,057,979.20
  5. Step 5: Solve for x
    x = 148,057,979.20/10,273.35
  6. Step 6: Final answer
    x = 14,411.85

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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.