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Finding the Fourth Proportional to 14,416.52, 19,894.76 and 7,792.52

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Solution

The fourth proportional to 14,416.52, 19,894.76 and 7,792.52 is: 10,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.52 : 19,894.76 = 7,792.52 : x
  2. Step 2: Convert to fraction form
    14,416.52/19,894.76 = 7,792.52/x
  3. Step 3: Cross multiply
    14,416.52x = 19,894.76 × 7,792.52
  4. Step 4: Simplify right side
    14,416.52x = 155,030,315.20
  5. Step 5: Solve for x
    x = 155,030,315.20/14,416.52
  6. Step 6: Final answer
    x = 10,753.66

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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.