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Finding the Fourth Proportional to 10,478.94, 14,466.93 and 6,946.95

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Solution

The fourth proportional to 10,478.94, 14,466.93 and 6,946.95 is: 9,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.94 : 14,466.93 = 6,946.95 : x
  2. Step 2: Convert to fraction form
    10,478.94/14,466.93 = 6,946.95/x
  3. Step 3: Cross multiply
    10,478.94x = 14,466.93 × 6,946.95
  4. Step 4: Simplify right side
    10,478.94x = 100,501,039.36
  5. Step 5: Solve for x
    x = 100,501,039.36/10,478.94
  6. Step 6: Final answer
    x = 9,590.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.