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Finding the Fourth Proportional to 9,282.95, 12,804.79 and 5,503.58

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Solution

The fourth proportional to 9,282.95, 12,804.79 and 5,503.58 is: 7,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.95 : 12,804.79 = 5,503.58 : x
  2. Step 2: Convert to fraction form
    9,282.95/12,804.79 = 5,503.58/x
  3. Step 3: Cross multiply
    9,282.95x = 12,804.79 × 5,503.58
  4. Step 4: Simplify right side
    9,282.95x = 70,472,186.15
  5. Step 5: Solve for x
    x = 70,472,186.15/9,282.95
  6. Step 6: Final answer
    x = 7,591.57

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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.