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Finding the Fourth Proportional to 9,948.32, 13,730.16 and 7,303.04

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Solution

The fourth proportional to 9,948.32, 13,730.16 and 7,303.04 is: 10,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.32 : 13,730.16 = 7,303.04 : x
  2. Step 2: Convert to fraction form
    9,948.32/13,730.16 = 7,303.04/x
  3. Step 3: Cross multiply
    9,948.32x = 13,730.16 × 7,303.04
  4. Step 4: Simplify right side
    9,948.32x = 100,271,907.69
  5. Step 5: Solve for x
    x = 100,271,907.69/9,948.32
  6. Step 6: Final answer
    x = 10,079.28

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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.