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Finding the Fourth Proportional to 6,675.84, 9,946.08 and 6,345.36

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Solution

The fourth proportional to 6,675.84, 9,946.08 and 6,345.36 is: 9,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.84 : 9,946.08 = 6,345.36 : x
  2. Step 2: Convert to fraction form
    6,675.84/9,946.08 = 6,345.36/x
  3. Step 3: Cross multiply
    6,675.84x = 9,946.08 × 6,345.36
  4. Step 4: Simplify right side
    6,675.84x = 63,111,458.19
  5. Step 5: Solve for x
    x = 63,111,458.19/6,675.84
  6. Step 6: Final answer
    x = 9,453.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.