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Finding the Fourth Proportional to 10,553.76, 15,830.64 and 7,256.88

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Solution

The fourth proportional to 10,553.76, 15,830.64 and 7,256.88 is: 10,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.76 : 15,830.64 = 7,256.88 : x
  2. Step 2: Convert to fraction form
    10,553.76/15,830.64 = 7,256.88/x
  3. Step 3: Cross multiply
    10,553.76x = 15,830.64 × 7,256.88
  4. Step 4: Simplify right side
    10,553.76x = 114,881,054.80
  5. Step 5: Solve for x
    x = 114,881,054.80/10,553.76
  6. Step 6: Final answer
    x = 10,885.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.