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Finding the Fourth Proportional to 10,657.44, 15,992.64 and 9,776.16

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Solution

The fourth proportional to 10,657.44, 15,992.64 and 9,776.16 is: 14,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.44 : 15,992.64 = 9,776.16 : x
  2. Step 2: Convert to fraction form
    10,657.44/15,992.64 = 9,776.16/x
  3. Step 3: Cross multiply
    10,657.44x = 15,992.64 × 9,776.16
  4. Step 4: Simplify right side
    10,657.44x = 156,346,607.46
  5. Step 5: Solve for x
    x = 156,346,607.46/10,657.44
  6. Step 6: Final answer
    x = 14,670.18

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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.