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Finding the Fourth Proportional to 5,980.16, 8,969.20 and 1,597.68

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Solution

The fourth proportional to 5,980.16, 8,969.20 and 1,597.68 is: 2,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.16 : 8,969.20 = 1,597.68 : x
  2. Step 2: Convert to fraction form
    5,980.16/8,969.20 = 1,597.68/x
  3. Step 3: Cross multiply
    5,980.16x = 8,969.20 × 1,597.68
  4. Step 4: Simplify right side
    5,980.16x = 14,329,911.46
  5. Step 5: Solve for x
    x = 14,329,911.46/5,980.16
  6. Step 6: Final answer
    x = 2,396.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.