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Finding the Fourth Proportional to 7,264.02, 9,959.06 and 7,132.80

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Solution

The fourth proportional to 7,264.02, 9,959.06 and 7,132.80 is: 9,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.02 : 9,959.06 = 7,132.80 : x
  2. Step 2: Convert to fraction form
    7,264.02/9,959.06 = 7,132.80/x
  3. Step 3: Cross multiply
    7,264.02x = 9,959.06 × 7,132.80
  4. Step 4: Simplify right side
    7,264.02x = 71,035,983.17
  5. Step 5: Solve for x
    x = 71,035,983.17/7,264.02
  6. Step 6: Final answer
    x = 9,779.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.