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Finding the Fourth Proportional to 9,883.53, 14,827.73 and 6,967.53

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Solution

The fourth proportional to 9,883.53, 14,827.73 and 6,967.53 is: 10,453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.53 : 14,827.73 = 6,967.53 : x
  2. Step 2: Convert to fraction form
    9,883.53/14,827.73 = 6,967.53/x
  3. Step 3: Cross multiply
    9,883.53x = 14,827.73 × 6,967.53
  4. Step 4: Simplify right side
    9,883.53x = 103,312,618.77
  5. Step 5: Solve for x
    x = 103,312,618.77/9,883.53
  6. Step 6: Final answer
    x = 10,453.01

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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.