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Finding the Fourth Proportional to 7,762.54, 10,710.66 and 4,618.12

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Solution

The fourth proportional to 7,762.54, 10,710.66 and 4,618.12 is: 6,372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.54 : 10,710.66 = 4,618.12 : x
  2. Step 2: Convert to fraction form
    7,762.54/10,710.66 = 4,618.12/x
  3. Step 3: Cross multiply
    7,762.54x = 10,710.66 × 4,618.12
  4. Step 4: Simplify right side
    7,762.54x = 49,463,113.16
  5. Step 5: Solve for x
    x = 49,463,113.16/7,762.54
  6. Step 6: Final answer
    x = 6,372.03

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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.