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Finding the Fourth Proportional to 10,454.99, 14,427.92 and 5,674.93

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Solution

The fourth proportional to 10,454.99, 14,427.92 and 5,674.93 is: 7,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.99 : 14,427.92 = 5,674.93 : x
  2. Step 2: Convert to fraction form
    10,454.99/14,427.92 = 5,674.93/x
  3. Step 3: Cross multiply
    10,454.99x = 14,427.92 × 5,674.93
  4. Step 4: Simplify right side
    10,454.99x = 81,877,414.16
  5. Step 5: Solve for x
    x = 81,877,414.16/10,454.99
  6. Step 6: Final answer
    x = 7,831.42

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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.