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Finding the Fourth Proportional to 10,574.40, 14,592.12 and 5,858.40

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Solution

The fourth proportional to 10,574.40, 14,592.12 and 5,858.40 is: 8,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.40 : 14,592.12 = 5,858.40 : x
  2. Step 2: Convert to fraction form
    10,574.40/14,592.12 = 5,858.40/x
  3. Step 3: Cross multiply
    10,574.40x = 14,592.12 × 5,858.40
  4. Step 4: Simplify right side
    10,574.40x = 85,486,475.81
  5. Step 5: Solve for x
    x = 85,486,475.81/10,574.40
  6. Step 6: Final answer
    x = 8,084.29

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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.