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Finding the Fourth Proportional to 12,281.81, 16,948.08 and 6,905.07

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Solution

The fourth proportional to 12,281.81, 16,948.08 and 6,905.07 is: 9,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.81 : 16,948.08 = 6,905.07 : x
  2. Step 2: Convert to fraction form
    12,281.81/16,948.08 = 6,905.07/x
  3. Step 3: Cross multiply
    12,281.81x = 16,948.08 × 6,905.07
  4. Step 4: Simplify right side
    12,281.81x = 117,027,678.77
  5. Step 5: Solve for x
    x = 117,027,678.77/12,281.81
  6. Step 6: Final answer
    x = 9,528.54

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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.