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Finding the Fourth Proportional to 7,059.90, 9,748.18 and 4,821.86

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Solution

The fourth proportional to 7,059.90, 9,748.18 and 4,821.86 is: 6,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.90 : 9,748.18 = 4,821.86 : x
  2. Step 2: Convert to fraction form
    7,059.90/9,748.18 = 4,821.86/x
  3. Step 3: Cross multiply
    7,059.90x = 9,748.18 × 4,821.86
  4. Step 4: Simplify right side
    7,059.90x = 47,004,359.21
  5. Step 5: Solve for x
    x = 47,004,359.21/7,059.90
  6. Step 6: Final answer
    x = 6,657.94

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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.