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Finding the Fourth Proportional to 9,054.72, 13,578.84 and 4,897.80

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Solution

The fourth proportional to 9,054.72, 13,578.84 and 4,897.80 is: 7,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054.72 : 13,578.84 = 4,897.80 : x
  2. Step 2: Convert to fraction form
    9,054.72/13,578.84 = 4,897.80/x
  3. Step 3: Cross multiply
    9,054.72x = 13,578.84 × 4,897.80
  4. Step 4: Simplify right side
    9,054.72x = 66,506,442.55
  5. Step 5: Solve for x
    x = 66,506,442.55/9,054.72
  6. Step 6: Final answer
    x = 7,344.95

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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.