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Finding the Fourth Proportional to 9,993.16, 14,970.66 and 5,597.32

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Solution

The fourth proportional to 9,993.16, 14,970.66 and 5,597.32 is: 8,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.16 : 14,970.66 = 5,597.32 : x
  2. Step 2: Convert to fraction form
    9,993.16/14,970.66 = 5,597.32/x
  3. Step 3: Cross multiply
    9,993.16x = 14,970.66 × 5,597.32
  4. Step 4: Simplify right side
    9,993.16x = 83,795,574.63
  5. Step 5: Solve for x
    x = 83,795,574.63/9,993.16
  6. Step 6: Final answer
    x = 8,385.29

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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.