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Finding the Fourth Proportional to 9,673.95, 14,510.92 and 7,738.45

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Solution

The fourth proportional to 9,673.95, 14,510.92 and 7,738.45 is: 11,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.95 : 14,510.92 = 7,738.45 : x
  2. Step 2: Convert to fraction form
    9,673.95/14,510.92 = 7,738.45/x
  3. Step 3: Cross multiply
    9,673.95x = 14,510.92 × 7,738.45
  4. Step 4: Simplify right side
    9,673.95x = 112,292,009.53
  5. Step 5: Solve for x
    x = 112,292,009.53/9,673.95
  6. Step 6: Final answer
    x = 11,607.68

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.