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Finding the Fourth Proportional to 9,657.72, 14,482.58 and 6,538.59

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Solution

The fourth proportional to 9,657.72, 14,482.58 and 6,538.59 is: 9,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.72 : 14,482.58 = 6,538.59 : x
  2. Step 2: Convert to fraction form
    9,657.72/14,482.58 = 6,538.59/x
  3. Step 3: Cross multiply
    9,657.72x = 14,482.58 × 6,538.59
  4. Step 4: Simplify right side
    9,657.72x = 94,695,620.07
  5. Step 5: Solve for x
    x = 94,695,620.07/9,657.72
  6. Step 6: Final answer
    x = 9,805.17

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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.