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Finding the Fourth Proportional to 9,657.76, 14,477.04 and 5,756.32

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Solution

The fourth proportional to 9,657.76, 14,477.04 and 5,756.32 is: 8,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.76 : 14,477.04 = 5,756.32 : x
  2. Step 2: Convert to fraction form
    9,657.76/14,477.04 = 5,756.32/x
  3. Step 3: Cross multiply
    9,657.76x = 14,477.04 × 5,756.32
  4. Step 4: Simplify right side
    9,657.76x = 83,334,474.89
  5. Step 5: Solve for x
    x = 83,334,474.89/9,657.76
  6. Step 6: Final answer
    x = 8,628.76

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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.