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Finding the Fourth Proportional to 9,386.52, 12,952.80 and 5,194.50

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Solution

The fourth proportional to 9,386.52, 12,952.80 and 5,194.50 is: 7,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.52 : 12,952.80 = 5,194.50 : x
  2. Step 2: Convert to fraction form
    9,386.52/12,952.80 = 5,194.50/x
  3. Step 3: Cross multiply
    9,386.52x = 12,952.80 × 5,194.50
  4. Step 4: Simplify right side
    9,386.52x = 67,283,319.60
  5. Step 5: Solve for x
    x = 67,283,319.60/9,386.52
  6. Step 6: Final answer
    x = 7,168.08

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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.