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Finding the Fourth Proportional to 7,159.75, 9,884.78 and 4,680.07

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Solution

The fourth proportional to 7,159.75, 9,884.78 and 4,680.07 is: 6,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.75 : 9,884.78 = 4,680.07 : x
  2. Step 2: Convert to fraction form
    7,159.75/9,884.78 = 4,680.07/x
  3. Step 3: Cross multiply
    7,159.75x = 9,884.78 × 4,680.07
  4. Step 4: Simplify right side
    7,159.75x = 46,261,462.33
  5. Step 5: Solve for x
    x = 46,261,462.33/7,159.75
  6. Step 6: Final answer
    x = 6,461.32

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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.