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Finding the Fourth Proportional to 10,451.60, 15,658 and 6,004.16

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Solution

The fourth proportional to 10,451.60, 15,658 and 6,004.16 is: 8,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.60 : 15,658 = 6,004.16 : x
  2. Step 2: Convert to fraction form
    10,451.60/15,658 = 6,004.16/x
  3. Step 3: Cross multiply
    10,451.60x = 15,658 × 6,004.16
  4. Step 4: Simplify right side
    10,451.60x = 94,013,137.28
  5. Step 5: Solve for x
    x = 94,013,137.28/10,451.60
  6. Step 6: Final answer
    x = 8,995.10

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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.