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Finding the Fourth Proportional to 5,970.61, 8,955.20 and 1,588.40

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Solution

The fourth proportional to 5,970.61, 8,955.20 and 1,588.40 is: 2,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.61 : 8,955.20 = 1,588.40 : x
  2. Step 2: Convert to fraction form
    5,970.61/8,955.20 = 1,588.40/x
  3. Step 3: Cross multiply
    5,970.61x = 8,955.20 × 1,588.40
  4. Step 4: Simplify right side
    5,970.61x = 14,224,439.68
  5. Step 5: Solve for x
    x = 14,224,439.68/5,970.61
  6. Step 6: Final answer
    x = 2,382.41

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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.