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Finding the Fourth Proportional to 9,681.84, 14,527.62 and 7,340.94

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Solution

The fourth proportional to 9,681.84, 14,527.62 and 7,340.94 is: 11,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.84 : 14,527.62 = 7,340.94 : x
  2. Step 2: Convert to fraction form
    9,681.84/14,527.62 = 7,340.94/x
  3. Step 3: Cross multiply
    9,681.84x = 14,527.62 × 7,340.94
  4. Step 4: Simplify right side
    9,681.84x = 106,646,386.76
  5. Step 5: Solve for x
    x = 106,646,386.76/9,681.84
  6. Step 6: Final answer
    x = 11,015.09

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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.