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Finding the Fourth Proportional to 10,594.61, 14,621.16 and 6,404.21

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Solution

The fourth proportional to 10,594.61, 14,621.16 and 6,404.21 is: 8,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.61 : 14,621.16 = 6,404.21 : x
  2. Step 2: Convert to fraction form
    10,594.61/14,621.16 = 6,404.21/x
  3. Step 3: Cross multiply
    10,594.61x = 14,621.16 × 6,404.21
  4. Step 4: Simplify right side
    10,594.61x = 93,636,979.08
  5. Step 5: Solve for x
    x = 93,636,979.08/10,594.61
  6. Step 6: Final answer
    x = 8,838.17

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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.