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Finding the Fourth Proportional to 9,754.02, 14,602.55 and 7,266.24

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Solution

The fourth proportional to 9,754.02, 14,602.55 and 7,266.24 is: 10,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.02 : 14,602.55 = 7,266.24 : x
  2. Step 2: Convert to fraction form
    9,754.02/14,602.55 = 7,266.24/x
  3. Step 3: Cross multiply
    9,754.02x = 14,602.55 × 7,266.24
  4. Step 4: Simplify right side
    9,754.02x = 106,105,596.58
  5. Step 5: Solve for x
    x = 106,105,596.58/9,754.02
  6. Step 6: Final answer
    x = 10,878.14

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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.