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Finding the Fourth Proportional to 11,802.18, 17,702.01 and 7,406.58

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Solution

The fourth proportional to 11,802.18, 17,702.01 and 7,406.58 is: 11,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.18 : 17,702.01 = 7,406.58 : x
  2. Step 2: Convert to fraction form
    11,802.18/17,702.01 = 7,406.58/x
  3. Step 3: Cross multiply
    11,802.18x = 17,702.01 × 7,406.58
  4. Step 4: Simplify right side
    11,802.18x = 131,111,353.23
  5. Step 5: Solve for x
    x = 131,111,353.23/11,802.18
  6. Step 6: Final answer
    x = 11,109.08

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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.