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Finding the Fourth Proportional to 9,030.47, 13,564.08 and 6,943.20

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Solution

The fourth proportional to 9,030.47, 13,564.08 and 6,943.20 is: 10,428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.47 : 13,564.08 = 6,943.20 : x
  2. Step 2: Convert to fraction form
    9,030.47/13,564.08 = 6,943.20/x
  3. Step 3: Cross multiply
    9,030.47x = 13,564.08 × 6,943.20
  4. Step 4: Simplify right side
    9,030.47x = 94,178,120.26
  5. Step 5: Solve for x
    x = 94,178,120.26/9,030.47
  6. Step 6: Final answer
    x = 10,428.93

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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.