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Finding the Fourth Proportional to 10,586.40, 14,609.52 and 5,870.40

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Solution

The fourth proportional to 10,586.40, 14,609.52 and 5,870.40 is: 8,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.40 : 14,609.52 = 5,870.40 : x
  2. Step 2: Convert to fraction form
    10,586.40/14,609.52 = 5,870.40/x
  3. Step 3: Cross multiply
    10,586.40x = 14,609.52 × 5,870.40
  4. Step 4: Simplify right side
    10,586.40x = 85,763,726.21
  5. Step 5: Solve for x
    x = 85,763,726.21/10,586.40
  6. Step 6: Final answer
    x = 8,101.31

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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.