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Finding the Fourth Proportional to 10,560.51, 14,572.98 and 6,784.02

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Solution

The fourth proportional to 10,560.51, 14,572.98 and 6,784.02 is: 9,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.51 : 14,572.98 = 6,784.02 : x
  2. Step 2: Convert to fraction form
    10,560.51/14,572.98 = 6,784.02/x
  3. Step 3: Cross multiply
    10,560.51x = 14,572.98 × 6,784.02
  4. Step 4: Simplify right side
    10,560.51x = 98,863,387.78
  5. Step 5: Solve for x
    x = 98,863,387.78/10,560.51
  6. Step 6: Final answer
    x = 9,361.61

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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.