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Finding the Fourth Proportional to 7,216.66, 9,960.56 and 4,567.60

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Solution

The fourth proportional to 7,216.66, 9,960.56 and 4,567.60 is: 6,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.66 : 9,960.56 = 4,567.60 : x
  2. Step 2: Convert to fraction form
    7,216.66/9,960.56 = 4,567.60/x
  3. Step 3: Cross multiply
    7,216.66x = 9,960.56 × 4,567.60
  4. Step 4: Simplify right side
    7,216.66x = 45,495,853.86
  5. Step 5: Solve for x
    x = 45,495,853.86/7,216.66
  6. Step 6: Final answer
    x = 6,304.28

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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.