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Finding the Fourth Proportional to 11,962.02, 17,943 and 5,703.06

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Solution

The fourth proportional to 11,962.02, 17,943 and 5,703.06 is: 8,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.02 : 17,943 = 5,703.06 : x
  2. Step 2: Convert to fraction form
    11,962.02/17,943 = 5,703.06/x
  3. Step 3: Cross multiply
    11,962.02x = 17,943 × 5,703.06
  4. Step 4: Simplify right side
    11,962.02x = 102,330,005.58
  5. Step 5: Solve for x
    x = 102,330,005.58/11,962.02
  6. Step 6: Final answer
    x = 8,554.58

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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.