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Finding the Fourth Proportional to 9,764.34, 14,646.51 and 2,368.68

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Solution

The fourth proportional to 9,764.34, 14,646.51 and 2,368.68 is: 3,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.34 : 14,646.51 = 2,368.68 : x
  2. Step 2: Convert to fraction form
    9,764.34/14,646.51 = 2,368.68/x
  3. Step 3: Cross multiply
    9,764.34x = 14,646.51 × 2,368.68
  4. Step 4: Simplify right side
    9,764.34x = 34,692,895.31
  5. Step 5: Solve for x
    x = 34,692,895.31/9,764.34
  6. Step 6: Final answer
    x = 3,553.02

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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.