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Finding the Fourth Proportional to 10,590.91, 14,615.08 and 5,875.63

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Solution

The fourth proportional to 10,590.91, 14,615.08 and 5,875.63 is: 8,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.91 : 14,615.08 = 5,875.63 : x
  2. Step 2: Convert to fraction form
    10,590.91/14,615.08 = 5,875.63/x
  3. Step 3: Cross multiply
    10,590.91x = 14,615.08 × 5,875.63
  4. Step 4: Simplify right side
    10,590.91x = 85,872,802.50
  5. Step 5: Solve for x
    x = 85,872,802.50/10,590.91
  6. Step 6: Final answer
    x = 8,108.16

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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.