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Finding the Fourth Proportional to 9,852.72, 13,607.76 and 6,703.44

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Solution

The fourth proportional to 9,852.72, 13,607.76 and 6,703.44 is: 9,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.72 : 13,607.76 = 6,703.44 : x
  2. Step 2: Convert to fraction form
    9,852.72/13,607.76 = 6,703.44/x
  3. Step 3: Cross multiply
    9,852.72x = 13,607.76 × 6,703.44
  4. Step 4: Simplify right side
    9,852.72x = 91,218,802.69
  5. Step 5: Solve for x
    x = 91,218,802.69/9,852.72
  6. Step 6: Final answer
    x = 9,258.24

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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.