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Finding the Fourth Proportional to 7,235.28, 9,973.80 and 5,660.64

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Solution

The fourth proportional to 7,235.28, 9,973.80 and 5,660.64 is: 7,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.28 : 9,973.80 = 5,660.64 : x
  2. Step 2: Convert to fraction form
    7,235.28/9,973.80 = 5,660.64/x
  3. Step 3: Cross multiply
    7,235.28x = 9,973.80 × 5,660.64
  4. Step 4: Simplify right side
    7,235.28x = 56,458,091.23
  5. Step 5: Solve for x
    x = 56,458,091.23/7,235.28
  6. Step 6: Final answer
    x = 7,803.17

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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.