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Finding the Fourth Proportional to 12,802.99, 17,668.05 and 7,496.74

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Solution

The fourth proportional to 12,802.99, 17,668.05 and 7,496.74 is: 10,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.99 : 17,668.05 = 7,496.74 : x
  2. Step 2: Convert to fraction form
    12,802.99/17,668.05 = 7,496.74/x
  3. Step 3: Cross multiply
    12,802.99x = 17,668.05 × 7,496.74
  4. Step 4: Simplify right side
    12,802.99x = 132,452,777.16
  5. Step 5: Solve for x
    x = 132,452,777.16/12,802.99
  6. Step 6: Final answer
    x = 10,345.46

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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.