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Finding the Fourth Proportional to 7,752.31, 10,698.46 and 4,440.95

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Solution

The fourth proportional to 7,752.31, 10,698.46 and 4,440.95 is: 6,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.31 : 10,698.46 = 4,440.95 : x
  2. Step 2: Convert to fraction form
    7,752.31/10,698.46 = 4,440.95/x
  3. Step 3: Cross multiply
    7,752.31x = 10,698.46 × 4,440.95
  4. Step 4: Simplify right side
    7,752.31x = 47,511,283.55
  5. Step 5: Solve for x
    x = 47,511,283.55/7,752.31
  6. Step 6: Final answer
    x = 6,128.67

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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.