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Finding the Fourth Proportional to 7,102.33, 9,794.92 and 4,710.60

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Solution

The fourth proportional to 7,102.33, 9,794.92 and 4,710.60 is: 6,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.33 : 9,794.92 = 4,710.60 : x
  2. Step 2: Convert to fraction form
    7,102.33/9,794.92 = 4,710.60/x
  3. Step 3: Cross multiply
    7,102.33x = 9,794.92 × 4,710.60
  4. Step 4: Simplify right side
    7,102.33x = 46,139,950.15
  5. Step 5: Solve for x
    x = 46,139,950.15/7,102.33
  6. Step 6: Final answer
    x = 6,496.45

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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.