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Finding the Fourth Proportional to 7,024.61, 9,695.88 and 4,370.45

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Solution

The fourth proportional to 7,024.61, 9,695.88 and 4,370.45 is: 6,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.61 : 9,695.88 = 4,370.45 : x
  2. Step 2: Convert to fraction form
    7,024.61/9,695.88 = 4,370.45/x
  3. Step 3: Cross multiply
    7,024.61x = 9,695.88 × 4,370.45
  4. Step 4: Simplify right side
    7,024.61x = 42,375,310.27
  5. Step 5: Solve for x
    x = 42,375,310.27/7,024.61
  6. Step 6: Final answer
    x = 6,032.41

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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.