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Finding the Fourth Proportional to 6,547.38, 9,811.48 and 4,074.67

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Solution

The fourth proportional to 6,547.38, 9,811.48 and 4,074.67 is: 6,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.38 : 9,811.48 = 4,074.67 : x
  2. Step 2: Convert to fraction form
    6,547.38/9,811.48 = 4,074.67/x
  3. Step 3: Cross multiply
    6,547.38x = 9,811.48 × 4,074.67
  4. Step 4: Simplify right side
    6,547.38x = 39,978,543.21
  5. Step 5: Solve for x
    x = 39,978,543.21/6,547.38
  6. Step 6: Final answer
    x = 6,106.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.