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Finding the Fourth Proportional to 10,571.70, 14,598.74 and 7,914.49

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Solution

The fourth proportional to 10,571.70, 14,598.74 and 7,914.49 is: 10,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.70 : 14,598.74 = 7,914.49 : x
  2. Step 2: Convert to fraction form
    10,571.70/14,598.74 = 7,914.49/x
  3. Step 3: Cross multiply
    10,571.70x = 14,598.74 × 7,914.49
  4. Step 4: Simplify right side
    10,571.70x = 115,541,581.74
  5. Step 5: Solve for x
    x = 115,541,581.74/10,571.70
  6. Step 6: Final answer
    x = 10,929.33

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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.