Home / 7,827.42-11,741.10-1,984.01

Finding the Fourth Proportional to 7,827.42, 11,741.10 and 1,984.01

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Solution

The fourth proportional to 7,827.42, 11,741.10 and 1,984.01 is: 2,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.42 : 11,741.10 = 1,984.01 : x
  2. Step 2: Convert to fraction form
    7,827.42/11,741.10 = 1,984.01/x
  3. Step 3: Cross multiply
    7,827.42x = 11,741.10 × 1,984.01
  4. Step 4: Simplify right side
    7,827.42x = 23,294,459.81
  5. Step 5: Solve for x
    x = 23,294,459.81/7,827.42
  6. Step 6: Final answer
    x = 2,976.01

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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.