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Finding the Fourth Proportional to 30,697.36, 46,045.84 and 7,901.16

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Solution

The fourth proportional to 30,697.36, 46,045.84 and 7,901.16 is: 11,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.36 : 46,045.84 = 7,901.16 : x
  2. Step 2: Convert to fraction form
    30,697.36/46,045.84 = 7,901.16/x
  3. Step 3: Cross multiply
    30,697.36x = 46,045.84 × 7,901.16
  4. Step 4: Simplify right side
    30,697.36x = 363,815,549.17
  5. Step 5: Solve for x
    x = 363,815,549.17/30,697.36
  6. Step 6: Final answer
    x = 11,851.69

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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.