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Finding the Fourth Proportional to 9,253.51, 12,770.07 and 5,275

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Solution

The fourth proportional to 9,253.51, 12,770.07 and 5,275 is: 7,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.51 : 12,770.07 = 5,275 : x
  2. Step 2: Convert to fraction form
    9,253.51/12,770.07 = 5,275/x
  3. Step 3: Cross multiply
    9,253.51x = 12,770.07 × 5,275
  4. Step 4: Simplify right side
    9,253.51x = 67,362,119.25
  5. Step 5: Solve for x
    x = 67,362,119.25/9,253.51
  6. Step 6: Final answer
    x = 7,279.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.