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Finding the Fourth Proportional to 10,735.68, 14,815.53 and 6,019.86

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Solution

The fourth proportional to 10,735.68, 14,815.53 and 6,019.86 is: 8,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.68 : 14,815.53 = 6,019.86 : x
  2. Step 2: Convert to fraction form
    10,735.68/14,815.53 = 6,019.86/x
  3. Step 3: Cross multiply
    10,735.68x = 14,815.53 × 6,019.86
  4. Step 4: Simplify right side
    10,735.68x = 89,187,416.43
  5. Step 5: Solve for x
    x = 89,187,416.43/10,735.68
  6. Step 6: Final answer
    x = 8,307.57

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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.