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Finding the Fourth Proportional to 10,604.10, 14,635 and 6,412.34

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Solution

The fourth proportional to 10,604.10, 14,635 and 6,412.34 is: 8,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.10 : 14,635 = 6,412.34 : x
  2. Step 2: Convert to fraction form
    10,604.10/14,635 = 6,412.34/x
  3. Step 3: Cross multiply
    10,604.10x = 14,635 × 6,412.34
  4. Step 4: Simplify right side
    10,604.10x = 93,844,595.90
  5. Step 5: Solve for x
    x = 93,844,595.90/10,604.10
  6. Step 6: Final answer
    x = 8,849.84

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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.