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Finding the Fourth Proportional to 7,008.70, 9,665.64 and 4,646.74

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Solution

The fourth proportional to 7,008.70, 9,665.64 and 4,646.74 is: 6,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.70 : 9,665.64 = 4,646.74 : x
  2. Step 2: Convert to fraction form
    7,008.70/9,665.64 = 4,646.74/x
  3. Step 3: Cross multiply
    7,008.70x = 9,665.64 × 4,646.74
  4. Step 4: Simplify right side
    7,008.70x = 44,913,716.01
  5. Step 5: Solve for x
    x = 44,913,716.01/7,008.70
  6. Step 6: Final answer
    x = 6,408.28

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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.