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Finding the Fourth Proportional to 7,170.61, 9,903.72 and 4,776.64

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Solution

The fourth proportional to 7,170.61, 9,903.72 and 4,776.64 is: 6,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.61 : 9,903.72 = 4,776.64 : x
  2. Step 2: Convert to fraction form
    7,170.61/9,903.72 = 4,776.64/x
  3. Step 3: Cross multiply
    7,170.61x = 9,903.72 × 4,776.64
  4. Step 4: Simplify right side
    7,170.61x = 47,306,431.70
  5. Step 5: Solve for x
    x = 47,306,431.70/7,170.61
  6. Step 6: Final answer
    x = 6,597.27

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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.