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Finding the Fourth Proportional to 19,346, 26,697.48 and 10,514

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Solution

The fourth proportional to 19,346, 26,697.48 and 10,514 is: 14,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,346 : 26,697.48 = 10,514 : x
  2. Step 2: Convert to fraction form
    19,346/26,697.48 = 10,514/x
  3. Step 3: Cross multiply
    19,346x = 26,697.48 × 10,514
  4. Step 4: Simplify right side
    19,346x = 280,697,304.72
  5. Step 5: Solve for x
    x = 280,697,304.72/19,346
  6. Step 6: Final answer
    x = 14,509.32

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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.