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Finding the Fourth Proportional to 10,698.43, 14,762.22 and 6,099.25

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Solution

The fourth proportional to 10,698.43, 14,762.22 and 6,099.25 is: 8,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.43 : 14,762.22 = 6,099.25 : x
  2. Step 2: Convert to fraction form
    10,698.43/14,762.22 = 6,099.25/x
  3. Step 3: Cross multiply
    10,698.43x = 14,762.22 × 6,099.25
  4. Step 4: Simplify right side
    10,698.43x = 90,038,470.34
  5. Step 5: Solve for x
    x = 90,038,470.34/10,698.43
  6. Step 6: Final answer
    x = 8,416.05

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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.