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Finding the Fourth Proportional to 10,497.36, 14,499.36 and 7,621.50

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Solution

The fourth proportional to 10,497.36, 14,499.36 and 7,621.50 is: 10,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.36 : 14,499.36 = 7,621.50 : x
  2. Step 2: Convert to fraction form
    10,497.36/14,499.36 = 7,621.50/x
  3. Step 3: Cross multiply
    10,497.36x = 14,499.36 × 7,621.50
  4. Step 4: Simplify right side
    10,497.36x = 110,506,872.24
  5. Step 5: Solve for x
    x = 110,506,872.24/10,497.36
  6. Step 6: Final answer
    x = 10,527.11

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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.