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Finding the Fourth Proportional to 9,116, 12,580.08 and 4,924.25

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Solution

The fourth proportional to 9,116, 12,580.08 and 4,924.25 is: 6,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116 : 12,580.08 = 4,924.25 : x
  2. Step 2: Convert to fraction form
    9,116/12,580.08 = 4,924.25/x
  3. Step 3: Cross multiply
    9,116x = 12,580.08 × 4,924.25
  4. Step 4: Simplify right side
    9,116x = 61,947,458.94
  5. Step 5: Solve for x
    x = 61,947,458.94/9,116
  6. Step 6: Final answer
    x = 6,795.47

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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.