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Finding the Fourth Proportional to 10,470.69, 14,460.84 and 6,501.24

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Solution

The fourth proportional to 10,470.69, 14,460.84 and 6,501.24 is: 8,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.69 : 14,460.84 = 6,501.24 : x
  2. Step 2: Convert to fraction form
    10,470.69/14,460.84 = 6,501.24/x
  3. Step 3: Cross multiply
    10,470.69x = 14,460.84 × 6,501.24
  4. Step 4: Simplify right side
    10,470.69x = 94,013,391.44
  5. Step 5: Solve for x
    x = 94,013,391.44/10,470.69
  6. Step 6: Final answer
    x = 8,978.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.