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Finding the Fourth Proportional to 9,802.19, 14,701.74 and 8,146.94

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Solution

The fourth proportional to 9,802.19, 14,701.74 and 8,146.94 is: 12,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.19 : 14,701.74 = 8,146.94 : x
  2. Step 2: Convert to fraction form
    9,802.19/14,701.74 = 8,146.94/x
  3. Step 3: Cross multiply
    9,802.19x = 14,701.74 × 8,146.94
  4. Step 4: Simplify right side
    9,802.19x = 119,774,227.36
  5. Step 5: Solve for x
    x = 119,774,227.36/9,802.19
  6. Step 6: Final answer
    x = 12,219.13

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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.