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Finding the Fourth Proportional to 10,598.76, 15,923.82 and 9,354.60

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Solution

The fourth proportional to 10,598.76, 15,923.82 and 9,354.60 is: 14,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.76 : 15,923.82 = 9,354.60 : x
  2. Step 2: Convert to fraction form
    10,598.76/15,923.82 = 9,354.60/x
  3. Step 3: Cross multiply
    10,598.76x = 15,923.82 × 9,354.60
  4. Step 4: Simplify right side
    10,598.76x = 148,960,966.57
  5. Step 5: Solve for x
    x = 148,960,966.57/10,598.76
  6. Step 6: Final answer
    x = 14,054.57

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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.