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Finding the Fourth Proportional to 9,848.66, 13,482.38 and 9,778.30

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Solution

The fourth proportional to 9,848.66, 13,482.38 and 9,778.30 is: 13,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.66 : 13,482.38 = 9,778.30 : x
  2. Step 2: Convert to fraction form
    9,848.66/13,482.38 = 9,778.30/x
  3. Step 3: Cross multiply
    9,848.66x = 13,482.38 × 9,778.30
  4. Step 4: Simplify right side
    9,848.66x = 131,834,822.93
  5. Step 5: Solve for x
    x = 131,834,822.93/9,848.66
  6. Step 6: Final answer
    x = 13,386.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.