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Finding the Fourth Proportional to 7,059.70, 9,742.23 and 4,370.20

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Solution

The fourth proportional to 7,059.70, 9,742.23 and 4,370.20 is: 6,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.70 : 9,742.23 = 4,370.20 : x
  2. Step 2: Convert to fraction form
    7,059.70/9,742.23 = 4,370.20/x
  3. Step 3: Cross multiply
    7,059.70x = 9,742.23 × 4,370.20
  4. Step 4: Simplify right side
    7,059.70x = 42,575,493.55
  5. Step 5: Solve for x
    x = 42,575,493.55/7,059.70
  6. Step 6: Final answer
    x = 6,030.78

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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.