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Finding the Fourth Proportional to 14,095.19, 19,452 and 7,807.57

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Solution

The fourth proportional to 14,095.19, 19,452 and 7,807.57 is: 10,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.19 : 19,452 = 7,807.57 : x
  2. Step 2: Convert to fraction form
    14,095.19/19,452 = 7,807.57/x
  3. Step 3: Cross multiply
    14,095.19x = 19,452 × 7,807.57
  4. Step 4: Simplify right side
    14,095.19x = 151,872,754.38
  5. Step 5: Solve for x
    x = 151,872,754.38/14,095.19
  6. Step 6: Final answer
    x = 10,774.79

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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.