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Finding the Fourth Proportional to 5,509.53, 8,205.05 and 5,477.94

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Solution

The fourth proportional to 5,509.53, 8,205.05 and 5,477.94 is: 8,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.53 : 8,205.05 = 5,477.94 : x
  2. Step 2: Convert to fraction form
    5,509.53/8,205.05 = 5,477.94/x
  3. Step 3: Cross multiply
    5,509.53x = 8,205.05 × 5,477.94
  4. Step 4: Simplify right side
    5,509.53x = 44,946,744.21
  5. Step 5: Solve for x
    x = 44,946,744.21/5,509.53
  6. Step 6: Final answer
    x = 8,158.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.