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Finding the Fourth Proportional to 5,673.74, 8,507.90 and 1,975.51

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Solution

The fourth proportional to 5,673.74, 8,507.90 and 1,975.51 is: 2,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.74 : 8,507.90 = 1,975.51 : x
  2. Step 2: Convert to fraction form
    5,673.74/8,507.90 = 1,975.51/x
  3. Step 3: Cross multiply
    5,673.74x = 8,507.90 × 1,975.51
  4. Step 4: Simplify right side
    5,673.74x = 16,807,457.10
  5. Step 5: Solve for x
    x = 16,807,457.10/5,673.74
  6. Step 6: Final answer
    x = 2,962.33

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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.