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Finding the Fourth Proportional to 9,277.02, 12,802.44 and 5,085

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Solution

The fourth proportional to 9,277.02, 12,802.44 and 5,085 is: 7,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.02 : 12,802.44 = 5,085 : x
  2. Step 2: Convert to fraction form
    9,277.02/12,802.44 = 5,085/x
  3. Step 3: Cross multiply
    9,277.02x = 12,802.44 × 5,085
  4. Step 4: Simplify right side
    9,277.02x = 65,100,407.40
  5. Step 5: Solve for x
    x = 65,100,407.40/9,277.02
  6. Step 6: Final answer
    x = 7,017.38

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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.