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Finding the Fourth Proportional to 7,074.18, 9,765.09 and 4,715.46

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Solution

The fourth proportional to 7,074.18, 9,765.09 and 4,715.46 is: 6,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.18 : 9,765.09 = 4,715.46 : x
  2. Step 2: Convert to fraction form
    7,074.18/9,765.09 = 4,715.46/x
  3. Step 3: Cross multiply
    7,074.18x = 9,765.09 × 4,715.46
  4. Step 4: Simplify right side
    7,074.18x = 46,046,891.29
  5. Step 5: Solve for x
    x = 46,046,891.29/7,074.18
  6. Step 6: Final answer
    x = 6,509.15

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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.