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Finding the Fourth Proportional to 10,565, 14,566.44 and 6,781.50

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Solution

The fourth proportional to 10,565, 14,566.44 and 6,781.50 is: 9,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565 : 14,566.44 = 6,781.50 : x
  2. Step 2: Convert to fraction form
    10,565/14,566.44 = 6,781.50/x
  3. Step 3: Cross multiply
    10,565x = 14,566.44 × 6,781.50
  4. Step 4: Simplify right side
    10,565x = 98,782,312.86
  5. Step 5: Solve for x
    x = 98,782,312.86/10,565
  6. Step 6: Final answer
    x = 9,349.96

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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.