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Finding the Fourth Proportional to 12,798.66, 17,668.08 and 9,024.90

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Solution

The fourth proportional to 12,798.66, 17,668.08 and 9,024.90 is: 12,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.66 : 17,668.08 = 9,024.90 : x
  2. Step 2: Convert to fraction form
    12,798.66/17,668.08 = 9,024.90/x
  3. Step 3: Cross multiply
    12,798.66x = 17,668.08 × 9,024.90
  4. Step 4: Simplify right side
    12,798.66x = 159,452,655.19
  5. Step 5: Solve for x
    x = 159,452,655.19/12,798.66
  6. Step 6: Final answer
    x = 12,458.54

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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.