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Finding the Fourth Proportional to 10,543.60, 14,549.16 and 5,827.12

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Solution

The fourth proportional to 10,543.60, 14,549.16 and 5,827.12 is: 8,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.60 : 14,549.16 = 5,827.12 : x
  2. Step 2: Convert to fraction form
    10,543.60/14,549.16 = 5,827.12/x
  3. Step 3: Cross multiply
    10,543.60x = 14,549.16 × 5,827.12
  4. Step 4: Simplify right side
    10,543.60x = 84,779,701.22
  5. Step 5: Solve for x
    x = 84,779,701.22/10,543.60
  6. Step 6: Final answer
    x = 8,040.87

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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.