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Finding the Fourth Proportional to 14,804.64, 22,209.84 and 7,009.20

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Solution

The fourth proportional to 14,804.64, 22,209.84 and 7,009.20 is: 10,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.64 : 22,209.84 = 7,009.20 : x
  2. Step 2: Convert to fraction form
    14,804.64/22,209.84 = 7,009.20/x
  3. Step 3: Cross multiply
    14,804.64x = 22,209.84 × 7,009.20
  4. Step 4: Simplify right side
    14,804.64x = 155,673,210.53
  5. Step 5: Solve for x
    x = 155,673,210.53/14,804.64
  6. Step 6: Final answer
    x = 10,515.16

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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.