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Finding the Fourth Proportional to 9,802.60, 14,703.94 and 2,407.06

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Solution

The fourth proportional to 9,802.60, 14,703.94 and 2,407.06 is: 3,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.60 : 14,703.94 = 2,407.06 : x
  2. Step 2: Convert to fraction form
    9,802.60/14,703.94 = 2,407.06/x
  3. Step 3: Cross multiply
    9,802.60x = 14,703.94 × 2,407.06
  4. Step 4: Simplify right side
    9,802.60x = 35,393,237.54
  5. Step 5: Solve for x
    x = 35,393,237.54/9,802.60
  6. Step 6: Final answer
    x = 3,610.60

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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.