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Finding the Fourth Proportional to 13,730.58, 18,948.06 and 7,762.32

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Solution

The fourth proportional to 13,730.58, 18,948.06 and 7,762.32 is: 10,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.58 : 18,948.06 = 7,762.32 : x
  2. Step 2: Convert to fraction form
    13,730.58/18,948.06 = 7,762.32/x
  3. Step 3: Cross multiply
    13,730.58x = 18,948.06 × 7,762.32
  4. Step 4: Simplify right side
    13,730.58x = 147,080,905.10
  5. Step 5: Solve for x
    x = 147,080,905.10/13,730.58
  6. Step 6: Final answer
    x = 10,711.92

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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.