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Finding the Fourth Proportional to 9,799.56, 14,700.24 and 4,864.32

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Solution

The fourth proportional to 9,799.56, 14,700.24 and 4,864.32 is: 7,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.56 : 14,700.24 = 4,864.32 : x
  2. Step 2: Convert to fraction form
    9,799.56/14,700.24 = 4,864.32/x
  3. Step 3: Cross multiply
    9,799.56x = 14,700.24 × 4,864.32
  4. Step 4: Simplify right side
    9,799.56x = 71,506,671.44
  5. Step 5: Solve for x
    x = 71,506,671.44/9,799.56
  6. Step 6: Final answer
    x = 7,296.93

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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.