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Finding the Fourth Proportional to 7,283.51, 10,929.59 and 6,822.26

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Solution

The fourth proportional to 7,283.51, 10,929.59 and 6,822.26 is: 10,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.51 : 10,929.59 = 6,822.26 : x
  2. Step 2: Convert to fraction form
    7,283.51/10,929.59 = 6,822.26/x
  3. Step 3: Cross multiply
    7,283.51x = 10,929.59 × 6,822.26
  4. Step 4: Simplify right side
    7,283.51x = 74,564,523.47
  5. Step 5: Solve for x
    x = 74,564,523.47/7,283.51
  6. Step 6: Final answer
    x = 10,237.45

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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.