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Finding the Fourth Proportional to 9,867.32, 13,627.93 and 7,656.02

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Solution

The fourth proportional to 9,867.32, 13,627.93 and 7,656.02 is: 10,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.32 : 13,627.93 = 7,656.02 : x
  2. Step 2: Convert to fraction form
    9,867.32/13,627.93 = 7,656.02/x
  3. Step 3: Cross multiply
    9,867.32x = 13,627.93 × 7,656.02
  4. Step 4: Simplify right side
    9,867.32x = 104,335,636.50
  5. Step 5: Solve for x
    x = 104,335,636.50/9,867.32
  6. Step 6: Final answer
    x = 10,573.86

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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.