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Finding the Fourth Proportional to 7,089.99, 9,783.53 and 4,106.02

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Solution

The fourth proportional to 7,089.99, 9,783.53 and 4,106.02 is: 5,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.99 : 9,783.53 = 4,106.02 : x
  2. Step 2: Convert to fraction form
    7,089.99/9,783.53 = 4,106.02/x
  3. Step 3: Cross multiply
    7,089.99x = 9,783.53 × 4,106.02
  4. Step 4: Simplify right side
    7,089.99x = 40,171,369.85
  5. Step 5: Solve for x
    x = 40,171,369.85/7,089.99
  6. Step 6: Final answer
    x = 5,665.93

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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.