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Finding the Fourth Proportional to 6,544.99, 9,032.04 and 3,560.77

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Solution

The fourth proportional to 6,544.99, 9,032.04 and 3,560.77 is: 4,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.99 : 9,032.04 = 3,560.77 : x
  2. Step 2: Convert to fraction form
    6,544.99/9,032.04 = 3,560.77/x
  3. Step 3: Cross multiply
    6,544.99x = 9,032.04 × 3,560.77
  4. Step 4: Simplify right side
    6,544.99x = 32,161,017.07
  5. Step 5: Solve for x
    x = 32,161,017.07/6,544.99
  6. Step 6: Final answer
    x = 4,913.84

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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.