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Finding the Fourth Proportional to 15,752.64, 23,623.92 and 6,995.28

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Solution

The fourth proportional to 15,752.64, 23,623.92 and 6,995.28 is: 10,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.64 : 23,623.92 = 6,995.28 : x
  2. Step 2: Convert to fraction form
    15,752.64/23,623.92 = 6,995.28/x
  3. Step 3: Cross multiply
    15,752.64x = 23,623.92 × 6,995.28
  4. Step 4: Simplify right side
    15,752.64x = 165,255,935.10
  5. Step 5: Solve for x
    x = 165,255,935.10/15,752.64
  6. Step 6: Final answer
    x = 10,490.68

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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.