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Finding the Fourth Proportional to 9,698.93, 13,386.08 and 9,065.76

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Solution

The fourth proportional to 9,698.93, 13,386.08 and 9,065.76 is: 12,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.93 : 13,386.08 = 9,065.76 : x
  2. Step 2: Convert to fraction form
    9,698.93/13,386.08 = 9,065.76/x
  3. Step 3: Cross multiply
    9,698.93x = 13,386.08 × 9,065.76
  4. Step 4: Simplify right side
    9,698.93x = 121,354,943.29
  5. Step 5: Solve for x
    x = 121,354,943.29/9,698.93
  6. Step 6: Final answer
    x = 12,512.21

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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.