Home / 6,514.35-9,771.54-1,584

Finding the Fourth Proportional to 6,514.35, 9,771.54 and 1,584

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Solution

The fourth proportional to 6,514.35, 9,771.54 and 1,584 is: 2,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.35 : 9,771.54 = 1,584 : x
  2. Step 2: Convert to fraction form
    6,514.35/9,771.54 = 1,584/x
  3. Step 3: Cross multiply
    6,514.35x = 9,771.54 × 1,584
  4. Step 4: Simplify right side
    6,514.35x = 15,478,119.36
  5. Step 5: Solve for x
    x = 15,478,119.36/6,514.35
  6. Step 6: Final answer
    x = 2,376.00

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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.