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Finding the Fourth Proportional to 9,730.64, 14,567.28 and 6,602.48

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Solution

The fourth proportional to 9,730.64, 14,567.28 and 6,602.48 is: 9,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.64 : 14,567.28 = 6,602.48 : x
  2. Step 2: Convert to fraction form
    9,730.64/14,567.28 = 6,602.48/x
  3. Step 3: Cross multiply
    9,730.64x = 14,567.28 × 6,602.48
  4. Step 4: Simplify right side
    9,730.64x = 96,180,174.85
  5. Step 5: Solve for x
    x = 96,180,174.85/9,730.64
  6. Step 6: Final answer
    x = 9,884.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.