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Finding the Fourth Proportional to 7,987.33, 11,962.77 and 7,053

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Solution

The fourth proportional to 7,987.33, 11,962.77 and 7,053 is: 10,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.33 : 11,962.77 = 7,053 : x
  2. Step 2: Convert to fraction form
    7,987.33/11,962.77 = 7,053/x
  3. Step 3: Cross multiply
    7,987.33x = 11,962.77 × 7,053
  4. Step 4: Simplify right side
    7,987.33x = 84,373,416.81
  5. Step 5: Solve for x
    x = 84,373,416.81/7,987.33
  6. Step 6: Final answer
    x = 10,563.41

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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.