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Finding the Fourth Proportional to 9,294.51, 12,825.63 and 5,314.98

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Solution

The fourth proportional to 9,294.51, 12,825.63 and 5,314.98 is: 7,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.51 : 12,825.63 = 5,314.98 : x
  2. Step 2: Convert to fraction form
    9,294.51/12,825.63 = 5,314.98/x
  3. Step 3: Cross multiply
    9,294.51x = 12,825.63 × 5,314.98
  4. Step 4: Simplify right side
    9,294.51x = 68,167,966.94
  5. Step 5: Solve for x
    x = 68,167,966.94/9,294.51
  6. Step 6: Final answer
    x = 7,334.22

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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.