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Finding the Fourth Proportional to 7,486.88, 11,230.29 and 3,784.01

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Solution

The fourth proportional to 7,486.88, 11,230.29 and 3,784.01 is: 5,676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.88 : 11,230.29 = 3,784.01 : x
  2. Step 2: Convert to fraction form
    7,486.88/11,230.29 = 3,784.01/x
  3. Step 3: Cross multiply
    7,486.88x = 11,230.29 × 3,784.01
  4. Step 4: Simplify right side
    7,486.88x = 42,495,473.51
  5. Step 5: Solve for x
    x = 42,495,473.51/7,486.88
  6. Step 6: Final answer
    x = 5,676.00

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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.