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Finding the Fourth Proportional to 9,910.64, 14,864.28 and 4,646.24

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Solution

The fourth proportional to 9,910.64, 14,864.28 and 4,646.24 is: 6,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.64 : 14,864.28 = 4,646.24 : x
  2. Step 2: Convert to fraction form
    9,910.64/14,864.28 = 4,646.24/x
  3. Step 3: Cross multiply
    9,910.64x = 14,864.28 × 4,646.24
  4. Step 4: Simplify right side
    9,910.64x = 69,063,012.31
  5. Step 5: Solve for x
    x = 69,063,012.31/9,910.64
  6. Step 6: Final answer
    x = 6,968.57

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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.