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Finding the Fourth Proportional to 9,615.16, 13,261.62 and 6,971.32

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Solution

The fourth proportional to 9,615.16, 13,261.62 and 6,971.32 is: 9,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.16 : 13,261.62 = 6,971.32 : x
  2. Step 2: Convert to fraction form
    9,615.16/13,261.62 = 6,971.32/x
  3. Step 3: Cross multiply
    9,615.16x = 13,261.62 × 6,971.32
  4. Step 4: Simplify right side
    9,615.16x = 92,450,996.74
  5. Step 5: Solve for x
    x = 92,450,996.74/9,615.16
  6. Step 6: Final answer
    x = 9,615.13

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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.