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Finding the Fourth Proportional to 7,801.50, 11,684.74 and 6,034.08

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Solution

The fourth proportional to 7,801.50, 11,684.74 and 6,034.08 is: 9,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.50 : 11,684.74 = 6,034.08 : x
  2. Step 2: Convert to fraction form
    7,801.50/11,684.74 = 6,034.08/x
  3. Step 3: Cross multiply
    7,801.50x = 11,684.74 × 6,034.08
  4. Step 4: Simplify right side
    7,801.50x = 70,506,655.94
  5. Step 5: Solve for x
    x = 70,506,655.94/7,801.50
  6. Step 6: Final answer
    x = 9,037.58

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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.