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Finding the Fourth Proportional to 9,410.64, 12,985.32 and 6,053.76

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Solution

The fourth proportional to 9,410.64, 12,985.32 and 6,053.76 is: 8,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.64 : 12,985.32 = 6,053.76 : x
  2. Step 2: Convert to fraction form
    9,410.64/12,985.32 = 6,053.76/x
  3. Step 3: Cross multiply
    9,410.64x = 12,985.32 × 6,053.76
  4. Step 4: Simplify right side
    9,410.64x = 78,610,010.80
  5. Step 5: Solve for x
    x = 78,610,010.80/9,410.64
  6. Step 6: Final answer
    x = 8,353.31

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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.