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Finding the Fourth Proportional to 7,058.32, 9,736.04 and 4,574.16

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Solution

The fourth proportional to 7,058.32, 9,736.04 and 4,574.16 is: 6,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.32 : 9,736.04 = 4,574.16 : x
  2. Step 2: Convert to fraction form
    7,058.32/9,736.04 = 4,574.16/x
  3. Step 3: Cross multiply
    7,058.32x = 9,736.04 × 4,574.16
  4. Step 4: Simplify right side
    7,058.32x = 44,534,204.73
  5. Step 5: Solve for x
    x = 44,534,204.73/7,058.32
  6. Step 6: Final answer
    x = 6,309.46

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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.