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Finding the Fourth Proportional to 10,970.69, 16,460.15 and 6,530.91

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Solution

The fourth proportional to 10,970.69, 16,460.15 and 6,530.91 is: 9,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.69 : 16,460.15 = 6,530.91 : x
  2. Step 2: Convert to fraction form
    10,970.69/16,460.15 = 6,530.91/x
  3. Step 3: Cross multiply
    10,970.69x = 16,460.15 × 6,530.91
  4. Step 4: Simplify right side
    10,970.69x = 107,499,725.58
  5. Step 5: Solve for x
    x = 107,499,725.58/10,970.69
  6. Step 6: Final answer
    x = 9,798.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.