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Finding the Fourth Proportional to 9,580.95, 13,218.12 and 7,069.14

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Solution

The fourth proportional to 9,580.95, 13,218.12 and 7,069.14 is: 9,752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.95 : 13,218.12 = 7,069.14 : x
  2. Step 2: Convert to fraction form
    9,580.95/13,218.12 = 7,069.14/x
  3. Step 3: Cross multiply
    9,580.95x = 13,218.12 × 7,069.14
  4. Step 4: Simplify right side
    9,580.95x = 93,440,740.82
  5. Step 5: Solve for x
    x = 93,440,740.82/9,580.95
  6. Step 6: Final answer
    x = 9,752.76

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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.