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Finding the Fourth Proportional to 9,959.48, 14,925.24 and 7,870.28

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Solution

The fourth proportional to 9,959.48, 14,925.24 and 7,870.28 is: 11,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.48 : 14,925.24 = 7,870.28 : x
  2. Step 2: Convert to fraction form
    9,959.48/14,925.24 = 7,870.28/x
  3. Step 3: Cross multiply
    9,959.48x = 14,925.24 × 7,870.28
  4. Step 4: Simplify right side
    9,959.48x = 117,465,817.87
  5. Step 5: Solve for x
    x = 117,465,817.87/9,959.48
  6. Step 6: Final answer
    x = 11,794.37

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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.