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Finding the Fourth Proportional to 7,701.06, 11,549.54 and 2,154.06

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Solution

The fourth proportional to 7,701.06, 11,549.54 and 2,154.06 is: 3,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.06 : 11,549.54 = 2,154.06 : x
  2. Step 2: Convert to fraction form
    7,701.06/11,549.54 = 2,154.06/x
  3. Step 3: Cross multiply
    7,701.06x = 11,549.54 × 2,154.06
  4. Step 4: Simplify right side
    7,701.06x = 24,878,402.13
  5. Step 5: Solve for x
    x = 24,878,402.13/7,701.06
  6. Step 6: Final answer
    x = 3,230.52

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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.