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Finding the Fourth Proportional to 7,155.94, 9,866.07 and 4,633.60

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Solution

The fourth proportional to 7,155.94, 9,866.07 and 4,633.60 is: 6,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.94 : 9,866.07 = 4,633.60 : x
  2. Step 2: Convert to fraction form
    7,155.94/9,866.07 = 4,633.60/x
  3. Step 3: Cross multiply
    7,155.94x = 9,866.07 × 4,633.60
  4. Step 4: Simplify right side
    7,155.94x = 45,715,421.95
  5. Step 5: Solve for x
    x = 45,715,421.95/7,155.94
  6. Step 6: Final answer
    x = 6,388.46

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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.