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Finding the Fourth Proportional to 10,524.45, 14,528.47 and 6,941.53

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Solution

The fourth proportional to 10,524.45, 14,528.47 and 6,941.53 is: 9,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.45 : 14,528.47 = 6,941.53 : x
  2. Step 2: Convert to fraction form
    10,524.45/14,528.47 = 6,941.53/x
  3. Step 3: Cross multiply
    10,524.45x = 14,528.47 × 6,941.53
  4. Step 4: Simplify right side
    10,524.45x = 100,849,737.72
  5. Step 5: Solve for x
    x = 100,849,737.72/10,524.45
  6. Step 6: Final answer
    x = 9,582.42

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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.