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Finding the Fourth Proportional to 11,605.32, 17,407.98 and 4,208.10

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Solution

The fourth proportional to 11,605.32, 17,407.98 and 4,208.10 is: 6,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.32 : 17,407.98 = 4,208.10 : x
  2. Step 2: Convert to fraction form
    11,605.32/17,407.98 = 4,208.10/x
  3. Step 3: Cross multiply
    11,605.32x = 17,407.98 × 4,208.10
  4. Step 4: Simplify right side
    11,605.32x = 73,254,520.64
  5. Step 5: Solve for x
    x = 73,254,520.64/11,605.32
  6. Step 6: Final answer
    x = 6,312.15

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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.