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Finding the Fourth Proportional to 10,482.40, 15,727.20 and 4,643.20

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Solution

The fourth proportional to 10,482.40, 15,727.20 and 4,643.20 is: 6,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.40 : 15,727.20 = 4,643.20 : x
  2. Step 2: Convert to fraction form
    10,482.40/15,727.20 = 4,643.20/x
  3. Step 3: Cross multiply
    10,482.40x = 15,727.20 × 4,643.20
  4. Step 4: Simplify right side
    10,482.40x = 73,024,535.04
  5. Step 5: Solve for x
    x = 73,024,535.04/10,482.40
  6. Step 6: Final answer
    x = 6,966.39

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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.