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Finding the Fourth Proportional to 7,646, 10,551.32 and 4,458.16

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Solution

The fourth proportional to 7,646, 10,551.32 and 4,458.16 is: 6,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646 : 10,551.32 = 4,458.16 : x
  2. Step 2: Convert to fraction form
    7,646/10,551.32 = 4,458.16/x
  3. Step 3: Cross multiply
    7,646x = 10,551.32 × 4,458.16
  4. Step 4: Simplify right side
    7,646x = 47,039,472.77
  5. Step 5: Solve for x
    x = 47,039,472.77/7,646
  6. Step 6: Final answer
    x = 6,152.17

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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.