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Finding the Fourth Proportional to 10,602.81, 14,630.99 and 5,886.81

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Solution

The fourth proportional to 10,602.81, 14,630.99 and 5,886.81 is: 8,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.81 : 14,630.99 = 5,886.81 : x
  2. Step 2: Convert to fraction form
    10,602.81/14,630.99 = 5,886.81/x
  3. Step 3: Cross multiply
    10,602.81x = 14,630.99 × 5,886.81
  4. Step 4: Simplify right side
    10,602.81x = 86,129,828.81
  5. Step 5: Solve for x
    x = 86,129,828.81/10,602.81
  6. Step 6: Final answer
    x = 8,123.30

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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.