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Finding the Fourth Proportional to 6,904.20, 9,528.82 and 4,070.67

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Solution

The fourth proportional to 6,904.20, 9,528.82 and 4,070.67 is: 5,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.20 : 9,528.82 = 4,070.67 : x
  2. Step 2: Convert to fraction form
    6,904.20/9,528.82 = 4,070.67/x
  3. Step 3: Cross multiply
    6,904.20x = 9,528.82 × 4,070.67
  4. Step 4: Simplify right side
    6,904.20x = 38,788,712.30
  5. Step 5: Solve for x
    x = 38,788,712.30/6,904.20
  6. Step 6: Final answer
    x = 5,618.13

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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.