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Finding the Fourth Proportional to 9,302.54, 13,955.16 and 4,918.82

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Solution

The fourth proportional to 9,302.54, 13,955.16 and 4,918.82 is: 7,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.54 : 13,955.16 = 4,918.82 : x
  2. Step 2: Convert to fraction form
    9,302.54/13,955.16 = 4,918.82/x
  3. Step 3: Cross multiply
    9,302.54x = 13,955.16 × 4,918.82
  4. Step 4: Simplify right side
    9,302.54x = 68,642,920.11
  5. Step 5: Solve for x
    x = 68,642,920.11/9,302.54
  6. Step 6: Final answer
    x = 7,378.94

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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.