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Finding the Fourth Proportional to 7,477.80, 10,323.78 and 4,829.16

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Solution

The fourth proportional to 7,477.80, 10,323.78 and 4,829.16 is: 6,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.80 : 10,323.78 = 4,829.16 : x
  2. Step 2: Convert to fraction form
    7,477.80/10,323.78 = 4,829.16/x
  3. Step 3: Cross multiply
    7,477.80x = 10,323.78 × 4,829.16
  4. Step 4: Simplify right side
    7,477.80x = 49,855,185.42
  5. Step 5: Solve for x
    x = 49,855,185.42/7,477.80
  6. Step 6: Final answer
    x = 6,667.09

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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.