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Finding the Fourth Proportional to 12,041.47, 16,616.58 and 7,004.89

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Solution

The fourth proportional to 12,041.47, 16,616.58 and 7,004.89 is: 9,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041.47 : 16,616.58 = 7,004.89 : x
  2. Step 2: Convert to fraction form
    12,041.47/16,616.58 = 7,004.89/x
  3. Step 3: Cross multiply
    12,041.47x = 16,616.58 × 7,004.89
  4. Step 4: Simplify right side
    12,041.47x = 116,397,315.08
  5. Step 5: Solve for x
    x = 116,397,315.08/12,041.47
  6. Step 6: Final answer
    x = 9,666.37

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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.