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Finding the Fourth Proportional to 6,970.98, 10,471.02 and 5,877.48

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Solution

The fourth proportional to 6,970.98, 10,471.02 and 5,877.48 is: 8,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.98 : 10,471.02 = 5,877.48 : x
  2. Step 2: Convert to fraction form
    6,970.98/10,471.02 = 5,877.48/x
  3. Step 3: Cross multiply
    6,970.98x = 10,471.02 × 5,877.48
  4. Step 4: Simplify right side
    6,970.98x = 61,543,210.63
  5. Step 5: Solve for x
    x = 61,543,210.63/6,970.98
  6. Step 6: Final answer
    x = 8,828.49

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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.