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Finding the Fourth Proportional to 7,005.71, 9,671.84 and 4,651.07

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Solution

The fourth proportional to 7,005.71, 9,671.84 and 4,651.07 is: 6,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.71 : 9,671.84 = 4,651.07 : x
  2. Step 2: Convert to fraction form
    7,005.71/9,671.84 = 4,651.07/x
  3. Step 3: Cross multiply
    7,005.71x = 9,671.84 × 4,651.07
  4. Step 4: Simplify right side
    7,005.71x = 44,984,404.87
  5. Step 5: Solve for x
    x = 44,984,404.87/7,005.71
  6. Step 6: Final answer
    x = 6,421.11

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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.