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Finding the Fourth Proportional to 15,807.04, 23,694.16 and 7,046.08

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Solution

The fourth proportional to 15,807.04, 23,694.16 and 7,046.08 is: 10,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.04 : 23,694.16 = 7,046.08 : x
  2. Step 2: Convert to fraction form
    15,807.04/23,694.16 = 7,046.08/x
  3. Step 3: Cross multiply
    15,807.04x = 23,694.16 × 7,046.08
  4. Step 4: Simplify right side
    15,807.04x = 166,950,946.89
  5. Step 5: Solve for x
    x = 166,950,946.89/15,807.04
  6. Step 6: Final answer
    x = 10,561.81

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1.5x scale

Why These Related Problems?

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