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Finding the Fourth Proportional to 7,643.84, 10,544.23 and 4,810.16

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Solution

The fourth proportional to 7,643.84, 10,544.23 and 4,810.16 is: 6,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.84 : 10,544.23 = 4,810.16 : x
  2. Step 2: Convert to fraction form
    7,643.84/10,544.23 = 4,810.16/x
  3. Step 3: Cross multiply
    7,643.84x = 10,544.23 × 4,810.16
  4. Step 4: Simplify right side
    7,643.84x = 50,719,447.71
  5. Step 5: Solve for x
    x = 50,719,447.71/7,643.84
  6. Step 6: Final answer
    x = 6,635.33

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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.