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Finding the Fourth Proportional to 7,065.60, 9,751.80 and 4,826.64

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Solution

The fourth proportional to 7,065.60, 9,751.80 and 4,826.64 is: 6,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.60 : 9,751.80 = 4,826.64 : x
  2. Step 2: Convert to fraction form
    7,065.60/9,751.80 = 4,826.64/x
  3. Step 3: Cross multiply
    7,065.60x = 9,751.80 × 4,826.64
  4. Step 4: Simplify right side
    7,065.60x = 47,068,427.95
  5. Step 5: Solve for x
    x = 47,068,427.95/7,065.60
  6. Step 6: Final answer
    x = 6,661.63

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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.