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Finding the Fourth Proportional to 9,644.93, 14,473.14 and 4,307.69

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Solution

The fourth proportional to 9,644.93, 14,473.14 and 4,307.69 is: 6,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.93 : 14,473.14 = 4,307.69 : x
  2. Step 2: Convert to fraction form
    9,644.93/14,473.14 = 4,307.69/x
  3. Step 3: Cross multiply
    9,644.93x = 14,473.14 × 4,307.69
  4. Step 4: Simplify right side
    9,644.93x = 62,345,728.08
  5. Step 5: Solve for x
    x = 62,345,728.08/9,644.93
  6. Step 6: Final answer
    x = 6,464.10

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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.