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Finding the Fourth Proportional to 9,902.77, 13,670.04 and 6,673.30

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Solution

The fourth proportional to 9,902.77, 13,670.04 and 6,673.30 is: 9,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.77 : 13,670.04 = 6,673.30 : x
  2. Step 2: Convert to fraction form
    9,902.77/13,670.04 = 6,673.30/x
  3. Step 3: Cross multiply
    9,902.77x = 13,670.04 × 6,673.30
  4. Step 4: Simplify right side
    9,902.77x = 91,224,277.93
  5. Step 5: Solve for x
    x = 91,224,277.93/9,902.77
  6. Step 6: Final answer
    x = 9,212.00

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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.