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Finding the Fourth Proportional to 31,294.40, 46,941.18 and 7,602.14

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Solution

The fourth proportional to 31,294.40, 46,941.18 and 7,602.14 is: 11,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.40 : 46,941.18 = 7,602.14 : x
  2. Step 2: Convert to fraction form
    31,294.40/46,941.18 = 7,602.14/x
  3. Step 3: Cross multiply
    31,294.40x = 46,941.18 × 7,602.14
  4. Step 4: Simplify right side
    31,294.40x = 356,853,422.13
  5. Step 5: Solve for x
    x = 356,853,422.13/31,294.40
  6. Step 6: Final answer
    x = 11,403.11

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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.