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Finding the Fourth Proportional to 7,762.32, 10,706.04 and 4,617.90

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Solution

The fourth proportional to 7,762.32, 10,706.04 and 4,617.90 is: 6,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.32 : 10,706.04 = 4,617.90 : x
  2. Step 2: Convert to fraction form
    7,762.32/10,706.04 = 4,617.90/x
  3. Step 3: Cross multiply
    7,762.32x = 10,706.04 × 4,617.90
  4. Step 4: Simplify right side
    7,762.32x = 49,439,422.12
  5. Step 5: Solve for x
    x = 49,439,422.12/7,762.32
  6. Step 6: Final answer
    x = 6,369.16

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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.