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Finding the Fourth Proportional to 10,323.14, 14,246 and 5,607.42

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Solution

The fourth proportional to 10,323.14, 14,246 and 5,607.42 is: 7,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.14 : 14,246 = 5,607.42 : x
  2. Step 2: Convert to fraction form
    10,323.14/14,246 = 5,607.42/x
  3. Step 3: Cross multiply
    10,323.14x = 14,246 × 5,607.42
  4. Step 4: Simplify right side
    10,323.14x = 79,883,305.32
  5. Step 5: Solve for x
    x = 79,883,305.32/10,323.14
  6. Step 6: Final answer
    x = 7,738.28

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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.