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Finding the Fourth Proportional to 9,779.40, 13,482.28 and 6,416.28

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Solution

The fourth proportional to 9,779.40, 13,482.28 and 6,416.28 is: 8,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.40 : 13,482.28 = 6,416.28 : x
  2. Step 2: Convert to fraction form
    9,779.40/13,482.28 = 6,416.28/x
  3. Step 3: Cross multiply
    9,779.40x = 13,482.28 × 6,416.28
  4. Step 4: Simplify right side
    9,779.40x = 86,506,083.52
  5. Step 5: Solve for x
    x = 86,506,083.52/9,779.40
  6. Step 6: Final answer
    x = 8,845.75

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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.