Home / 9,784.08-14,676-4,586.28

Finding the Fourth Proportional to 9,784.08, 14,676 and 4,586.28

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Solution

The fourth proportional to 9,784.08, 14,676 and 4,586.28 is: 6,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.08 : 14,676 = 4,586.28 : x
  2. Step 2: Convert to fraction form
    9,784.08/14,676 = 4,586.28/x
  3. Step 3: Cross multiply
    9,784.08x = 14,676 × 4,586.28
  4. Step 4: Simplify right side
    9,784.08x = 67,308,245.28
  5. Step 5: Solve for x
    x = 67,308,245.28/9,784.08
  6. Step 6: Final answer
    x = 6,879.36

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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.