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Finding the Fourth Proportional to 30,693.60, 46,025.28 and 9,914.40

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Solution

The fourth proportional to 30,693.60, 46,025.28 and 9,914.40 is: 14,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.60 : 46,025.28 = 9,914.40 : x
  2. Step 2: Convert to fraction form
    30,693.60/46,025.28 = 9,914.40/x
  3. Step 3: Cross multiply
    30,693.60x = 46,025.28 × 9,914.40
  4. Step 4: Simplify right side
    30,693.60x = 456,313,036.03
  5. Step 5: Solve for x
    x = 456,313,036.03/30,693.60
  6. Step 6: Final answer
    x = 14,866.72

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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.