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Finding the Fourth Proportional to 13,946.46, 20,919.71 and 9,804.99

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Solution

The fourth proportional to 13,946.46, 20,919.71 and 9,804.99 is: 14,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.46 : 20,919.71 = 9,804.99 : x
  2. Step 2: Convert to fraction form
    13,946.46/20,919.71 = 9,804.99/x
  3. Step 3: Cross multiply
    13,946.46x = 20,919.71 × 9,804.99
  4. Step 4: Simplify right side
    13,946.46x = 205,117,547.35
  5. Step 5: Solve for x
    x = 205,117,547.35/13,946.46
  6. Step 6: Final answer
    x = 14,707.50

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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.