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Finding the Fourth Proportional to 8,946.98, 12,345.93 and 5,223.14

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Solution

The fourth proportional to 8,946.98, 12,345.93 and 5,223.14 is: 7,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.98 : 12,345.93 = 5,223.14 : x
  2. Step 2: Convert to fraction form
    8,946.98/12,345.93 = 5,223.14/x
  3. Step 3: Cross multiply
    8,946.98x = 12,345.93 × 5,223.14
  4. Step 4: Simplify right side
    8,946.98x = 64,484,520.82
  5. Step 5: Solve for x
    x = 64,484,520.82/8,946.98
  6. Step 6: Final answer
    x = 7,207.41

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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.