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Finding the Fourth Proportional to 6,509.81, 9,777.93 and 5,747.10

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Solution

The fourth proportional to 6,509.81, 9,777.93 and 5,747.10 is: 8,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.81 : 9,777.93 = 5,747.10 : x
  2. Step 2: Convert to fraction form
    6,509.81/9,777.93 = 5,747.10/x
  3. Step 3: Cross multiply
    6,509.81x = 9,777.93 × 5,747.10
  4. Step 4: Simplify right side
    6,509.81x = 56,194,741.50
  5. Step 5: Solve for x
    x = 56,194,741.50/6,509.81
  6. Step 6: Final answer
    x = 8,632.32

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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.