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Finding the Fourth Proportional to 9,812.58, 13,541.08 and 5,564.05

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Solution

The fourth proportional to 9,812.58, 13,541.08 and 5,564.05 is: 7,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.58 : 13,541.08 = 5,564.05 : x
  2. Step 2: Convert to fraction form
    9,812.58/13,541.08 = 5,564.05/x
  3. Step 3: Cross multiply
    9,812.58x = 13,541.08 × 5,564.05
  4. Step 4: Simplify right side
    9,812.58x = 75,343,262.58
  5. Step 5: Solve for x
    x = 75,343,262.58/9,812.58
  6. Step 6: Final answer
    x = 7,678.23

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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.