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Finding the Fourth Proportional to 10,604.60, 14,626 and 7,416.84

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Solution

The fourth proportional to 10,604.60, 14,626 and 7,416.84 is: 10,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.60 : 14,626 = 7,416.84 : x
  2. Step 2: Convert to fraction form
    10,604.60/14,626 = 7,416.84/x
  3. Step 3: Cross multiply
    10,604.60x = 14,626 × 7,416.84
  4. Step 4: Simplify right side
    10,604.60x = 108,478,701.84
  5. Step 5: Solve for x
    x = 108,478,701.84/10,604.60
  6. Step 6: Final answer
    x = 10,229.40

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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.