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Finding the Fourth Proportional to 9,686.80, 14,509.32 and 6,549.58

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Solution

The fourth proportional to 9,686.80, 14,509.32 and 6,549.58 is: 9,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.80 : 14,509.32 = 6,549.58 : x
  2. Step 2: Convert to fraction form
    9,686.80/14,509.32 = 6,549.58/x
  3. Step 3: Cross multiply
    9,686.80x = 14,509.32 × 6,549.58
  4. Step 4: Simplify right side
    9,686.80x = 95,029,952.09
  5. Step 5: Solve for x
    x = 95,029,952.09/9,686.80
  6. Step 6: Final answer
    x = 9,810.25

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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.