Home / 10,582.09-14,602.62-5,866

Finding the Fourth Proportional to 10,582.09, 14,602.62 and 5,866

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Solution

The fourth proportional to 10,582.09, 14,602.62 and 5,866 is: 8,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.09 : 14,602.62 = 5,866 : x
  2. Step 2: Convert to fraction form
    10,582.09/14,602.62 = 5,866/x
  3. Step 3: Cross multiply
    10,582.09x = 14,602.62 × 5,866
  4. Step 4: Simplify right side
    10,582.09x = 85,658,968.92
  5. Step 5: Solve for x
    x = 85,658,968.92/10,582.09
  6. Step 6: Final answer
    x = 8,094.71

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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.