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Finding the Fourth Proportional to 9,802.77, 14,706.63 and 4,254.77

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Solution

The fourth proportional to 9,802.77, 14,706.63 and 4,254.77 is: 6,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.77 : 14,706.63 = 4,254.77 : x
  2. Step 2: Convert to fraction form
    9,802.77/14,706.63 = 4,254.77/x
  3. Step 3: Cross multiply
    9,802.77x = 14,706.63 × 4,254.77
  4. Step 4: Simplify right side
    9,802.77x = 62,573,254.59
  5. Step 5: Solve for x
    x = 62,573,254.59/9,802.77
  6. Step 6: Final answer
    x = 6,383.22

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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.