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Finding the Fourth Proportional to 9,307.71, 12,843.77 and 7,543.53

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Solution

The fourth proportional to 9,307.71, 12,843.77 and 7,543.53 is: 10,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.71 : 12,843.77 = 7,543.53 : x
  2. Step 2: Convert to fraction form
    9,307.71/12,843.77 = 7,543.53/x
  3. Step 3: Cross multiply
    9,307.71x = 12,843.77 × 7,543.53
  4. Step 4: Simplify right side
    9,307.71x = 96,887,326.59
  5. Step 5: Solve for x
    x = 96,887,326.59/9,307.71
  6. Step 6: Final answer
    x = 10,409.36

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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.