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Finding the Fourth Proportional to 14,184.84, 19,575 and 7,897.08

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Solution

The fourth proportional to 14,184.84, 19,575 and 7,897.08 is: 10,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.84 : 19,575 = 7,897.08 : x
  2. Step 2: Convert to fraction form
    14,184.84/19,575 = 7,897.08/x
  3. Step 3: Cross multiply
    14,184.84x = 19,575 × 7,897.08
  4. Step 4: Simplify right side
    14,184.84x = 154,585,341
  5. Step 5: Solve for x
    x = 154,585,341/14,184.84
  6. Step 6: Final answer
    x = 10,897.93

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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.