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Finding the Fourth Proportional to 9,277.68, 13,838.32 and 9,000.68

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Solution

The fourth proportional to 9,277.68, 13,838.32 and 9,000.68 is: 13,425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.68 : 13,838.32 = 9,000.68 : x
  2. Step 2: Convert to fraction form
    9,277.68/13,838.32 = 9,000.68/x
  3. Step 3: Cross multiply
    9,277.68x = 13,838.32 × 9,000.68
  4. Step 4: Simplify right side
    9,277.68x = 124,554,290.06
  5. Step 5: Solve for x
    x = 124,554,290.06/9,277.68
  6. Step 6: Final answer
    x = 13,425.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.