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Finding the Fourth Proportional to 10,646.69, 14,697.68 and 6,669.99

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Solution

The fourth proportional to 10,646.69, 14,697.68 and 6,669.99 is: 9,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.69 : 14,697.68 = 6,669.99 : x
  2. Step 2: Convert to fraction form
    10,646.69/14,697.68 = 6,669.99/x
  3. Step 3: Cross multiply
    10,646.69x = 14,697.68 × 6,669.99
  4. Step 4: Simplify right side
    10,646.69x = 98,033,345.27
  5. Step 5: Solve for x
    x = 98,033,345.27/10,646.69
  6. Step 6: Final answer
    x = 9,207.88

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1.5x scale

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.