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Finding the Fourth Proportional to 7,643.88, 10,547.94 and 4,241

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Solution

The fourth proportional to 7,643.88, 10,547.94 and 4,241 is: 5,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.88 : 10,547.94 = 4,241 : x
  2. Step 2: Convert to fraction form
    7,643.88/10,547.94 = 4,241/x
  3. Step 3: Cross multiply
    7,643.88x = 10,547.94 × 4,241
  4. Step 4: Simplify right side
    7,643.88x = 44,733,813.54
  5. Step 5: Solve for x
    x = 44,733,813.54/7,643.88
  6. Step 6: Final answer
    x = 5,852.24

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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.