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Finding the Fourth Proportional to 9,793.50, 14,681.54 and 6,284.52

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Solution

The fourth proportional to 9,793.50, 14,681.54 and 6,284.52 is: 9,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.50 : 14,681.54 = 6,284.52 : x
  2. Step 2: Convert to fraction form
    9,793.50/14,681.54 = 6,284.52/x
  3. Step 3: Cross multiply
    9,793.50x = 14,681.54 × 6,284.52
  4. Step 4: Simplify right side
    9,793.50x = 92,266,431.76
  5. Step 5: Solve for x
    x = 92,266,431.76/9,793.50
  6. Step 6: Final answer
    x = 9,421.19

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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.