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Finding the Fourth Proportional to 9,476.16, 13,061.04 and 6,644.40

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Solution

The fourth proportional to 9,476.16, 13,061.04 and 6,644.40 is: 9,158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.16 : 13,061.04 = 6,644.40 : x
  2. Step 2: Convert to fraction form
    9,476.16/13,061.04 = 6,644.40/x
  3. Step 3: Cross multiply
    9,476.16x = 13,061.04 × 6,644.40
  4. Step 4: Simplify right side
    9,476.16x = 86,782,774.18
  5. Step 5: Solve for x
    x = 86,782,774.18/9,476.16
  6. Step 6: Final answer
    x = 9,158.01

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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.