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Finding the Fourth Proportional to 14,566.40, 21,851.52 and 10,678.40

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Solution

The fourth proportional to 14,566.40, 21,851.52 and 10,678.40 is: 16,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.40 : 21,851.52 = 10,678.40 : x
  2. Step 2: Convert to fraction form
    14,566.40/21,851.52 = 10,678.40/x
  3. Step 3: Cross multiply
    14,566.40x = 21,851.52 × 10,678.40
  4. Step 4: Simplify right side
    14,566.40x = 233,339,271.17
  5. Step 5: Solve for x
    x = 233,339,271.17/14,566.40
  6. Step 6: Final answer
    x = 16,019.01

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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.